89695872000 has 1056 divisors, whose sum is σ = 378600019200. Its totient is φ = 20411596800.

The previous prime is 89695871959. The next prime is 89695872001. The reversal of 89695872000 is 27859698.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (89695872001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395135887 + ... + 395136113.

Almost surely, 2^89695872000 is an apocalyptic number.

89695872000 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 89695872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189300009600).

89695872000 is an abundant number, since it is smaller than the sum of its proper divisors (288904147200).

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

89695872000 is a wasteful number, since it uses less digits than its factorization.

89695872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 89695872000 in words is "eighty-nine billion, six hundred ninety-five million, eight hundred seventy-two thousand".