89497670400 has 324 divisors, whose sum is σ = 321126977808. Its totient is φ = 23780106240.

The previous prime is 89497670387. The next prime is 89497670401. The reversal of 89497670400 is 407679498.

It is a happy number.

89497670400 is a `hidden beast` number, since 8 + 94 + 97 + 67 + 0 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (89497670401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16874149 + ... + 16879451.

Almost surely, 2^89497670400 is an apocalyptic number.

89497670400 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 89497670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160563488904).

89497670400 is an abundant number, since it is smaller than the sum of its proper divisors (231629307408).

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

89497670400 is a wasteful number, since it uses less digits than its factorization.

89497670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 89497670400 in words is "eighty-nine billion, four hundred ninety-seven million, six hundred seventy thousand, four hundred".