89885315520 has 1792 divisors, whose sum is σ = 448977715200. Its totient is φ = 16303472640.

The previous prime is 89885315467. The next prime is 89885315567. The reversal of 89885315520 is 2551358898.

It is a happy number.

89885315520 is a `hidden beast` number, since 8 + 9 + 8 + 85 + 3 + 1 + 552 + 0 = 666.

It is a super-2 number, since 2×89885315520² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 164323887 + ... + 164324433.

It is an arithmetic number, because the mean of its divisors is an integer number (250545600).

Almost surely, 2^89885315520 is an apocalyptic number.

89885315520 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 89885315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224488857600).

89885315520 is an abundant number, since it is smaller than the sum of its proper divisors (359092399680).

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

89885315520 is a wasteful number, since it uses less digits than its factorization.

89885315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 89885315520 in words is "eighty-nine billion, eight hundred eighty-five million, three hundred fifteen thousand, five hundred twenty".