89710149672 has 240 divisors, whose sum is σ = 296826029280. Its totient is φ = 25093411200.

The previous prime is 89710149623. The next prime is 89710149677. The reversal of 89710149672 is 27694101798.

89710149672 is a `hidden beast` number, since 89 + 7 + 1 + 0 + 1 + 496 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89710149677) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1167397 + ... + 1241867.

It is an arithmetic number, because the mean of its divisors is an integer number (1236775122).

Almost surely, 2^89710149672 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 89710149672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148413014640).

89710149672 is an abundant number, since it is smaller than the sum of its proper divisors (207115879608).

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

89710149672 is a wasteful number, since it uses less digits than its factorization.

89710149672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74526 (or 74500 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 89710149672 in words is "eighty-nine billion, seven hundred ten million, one hundred forty-nine thousand, six hundred seventy-two".