89791395840 has 576 divisors, whose sum is σ = 327852645120. Its totient is φ = 22696427520.

The previous prime is 89791395839. The next prime is 89791395851. The reversal of 89791395840 is 4859319798.

89791395840 is a `hidden beast` number, since 89 + 7 + 91 + 395 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151418584 + ... + 151419176.

It is an arithmetic number, because the mean of its divisors is an integer number (569188620).

Almost surely, 2^89791395840 is an apocalyptic number.

89791395840 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 89791395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163926322560).

89791395840 is an abundant number, since it is smaller than the sum of its proper divisors (238061249280).

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

89791395840 is a wasteful number, since it uses less digits than its factorization.

89791395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 89791395840 in words is "eighty-nine billion, seven hundred ninety-one million, three hundred ninety-five thousand, eight hundred forty".