89277890520 has 512 divisors, whose sum is σ = 342958694400. Its totient is φ = 18089091072.

The previous prime is 89277890519. The next prime is 89277890551. The reversal of 89277890520 is 2509877298.

It is a super-2 number, since 2×89277890520² (a number of 23 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 31917762 + ... + 31920558.

It is an arithmetic number, because the mean of its divisors is an integer number (669841200).

Almost surely, 2^89277890520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89277890520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171479347200).

89277890520 is an abundant number, since it is smaller than the sum of its proper divisors (253680803880).

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

89277890520 is a wasteful number, since it uses less digits than its factorization.

89277890520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 89277890520 in words is "eighty-nine billion, two hundred seventy-seven million, eight hundred ninety thousand, five hundred twenty".