89890717416192 has 864 divisors, whose sum is σ = 342797727767040. Its totient is φ = 21932410798080.

The previous prime is 89890717416191. The next prime is 89890717416217. The reversal of 89890717416192 is 29161471709898.

89890717416192 is a `hidden beast` number, since 8 + 9 + 8 + 9 + 0 + 7 + 17 + 416 + 192 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89890717416192.

It is not an unprimeable number, because it can be changed into a prime (89890717416191) 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, 1577306034 + ... + 1577363022.

It is an arithmetic number, because the mean of its divisors is an integer number (396756629360).

Almost surely, 2^{89890717416192} 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 89890717416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171398863883520).

89890717416192 is an abundant number, since it is smaller than the sum of its proper divisors (252907010350848).

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

89890717416192 is a wasteful number, since it uses less digits than its factorization.

89890717416192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57569 (or 57552 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 72.

The spelling of 89890717416192 in words is "eighty-nine trillion, eight hundred ninety billion, seven hundred seventeen million, four hundred sixteen thousand, one hundred ninety-two".