89296579742400 has 1512 divisors, whose sum is σ = 354916693377792. Its totient is φ = 22040232192000.

The previous prime is 89296579742389. The next prime is 89296579742449. The reversal of 89296579742400 is 424797569298.

89296579742400 is a `hidden beast` number, since 8 + 9 + 2 + 9 + 6 + 579 + 7 + 4 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8593641205 + ... + 8593651595.

It is an arithmetic number, because the mean of its divisors is an integer number (234733262816).

Almost surely, 2^{89296579742400} is an apocalyptic number.

89296579742400 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 89296579742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177458346688896).

89296579742400 is an abundant number, since it is smaller than the sum of its proper divisors (265620113635392).

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

89296579742400 is a wasteful number, since it uses less digits than its factorization.

89296579742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10455 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 89296579742400 in words is "eighty-nine trillion, two hundred ninety-six billion, five hundred seventy-nine million, seven hundred forty-two thousand, four hundred".