89700042159360 has 576 divisors, whose sum is σ = 324238153478400. Its totient is φ = 23478499934208.

The previous prime is 89700042159347. The next prime is 89700042159463. The reversal of 89700042159360 is 6395124000798.

89700042159360 is a `hidden beast` number, since 8 + 9 + 7 + 0 + 0 + 0 + 42 + 1 + 593 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×89700042159360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89700042159297 and 89700042159306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421283647 + ... + 421496513.

It is an arithmetic number, because the mean of its divisors is an integer number (562913460900).

It is a 1-persistent number, because it is pandigital, but 2⋅89700042159360 = 179400084318720 is not.

Almost surely, 2^{89700042159360} is an apocalyptic number.

89700042159360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89700042159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162119076739200).

89700042159360 is an abundant number, since it is smaller than the sum of its proper divisors (234538111319040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89700042159360 is a wasteful number, since it uses less digits than its factorization.

89700042159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213123 (or 213103 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 89700042159360 in words is "eighty-nine trillion, seven hundred billion, forty-two million, one hundred fifty-nine thousand, three hundred sixty".