89504870400 has 1092 divisors, whose sum is σ = 366347061960. Its totient is φ = 21499084800.

The previous prime is 89504870333. The next prime is 89504870401. The reversal of 89504870400 is 407840598.

89504870400 is a `hidden beast` number, since 89 + 50 + 487 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×89504870400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89504870401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 821145546 + ... + 821145654.

Almost surely, 2^89504870400 is an apocalyptic number.

89504870400 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 89504870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183173530980).

89504870400 is an abundant number, since it is smaller than the sum of its proper divisors (276842191560).

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

89504870400 is a wasteful number, since it uses less digits than its factorization.

89504870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 89504870400 in words is "eighty-nine billion, five hundred four million, eight hundred seventy thousand, four hundred".