89553364992 has 864 divisors, whose sum is σ = 337403102400. Its totient is φ = 22980132864.

The previous prime is 89553364991. The next prime is 89553364993. The reversal of 89553364992 is 29946335598.

89553364992 is a `hidden beast` number, since 8 + 9 + 5 + 533 + 6 + 4 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (89553364991) and next prime (89553364993).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (89553364991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2420361198 + ... + 2420361234.

It is an arithmetic number, because the mean of its divisors is an integer number (390512850).

Almost surely, 2^89553364992 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 89553364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168701551200).

89553364992 is an abundant number, since it is smaller than the sum of its proper divisors (247849737408).

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

89553364992 is a wasteful number, since it uses less digits than its factorization.

89553364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 62 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 89553364992 in words is "eighty-nine billion, five hundred fifty-three million, three hundred sixty-four thousand, nine hundred ninety-two".