89008071264 has 192 divisors, whose sum is σ = 296856161280. Its totient is φ = 25416944640.

The previous prime is 89008071241. The next prime is 89008071323. The reversal of 89008071264 is 46217080098.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16877332 + ... + 16882604.

It is an arithmetic number, because the mean of its divisors is an integer number (1546125840).

Almost surely, 2^89008071264 is an apocalyptic number.

89008071264 is a gapful number since it is divisible by the number (84) 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 89008071264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428080640).

89008071264 is an abundant number, since it is smaller than the sum of its proper divisors (207848090016).

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

89008071264 is a wasteful number, since it uses less digits than its factorization.

89008071264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 89008071264 in words is "eighty-nine billion, eight million, seventy-one thousand, two hundred sixty-four".