89617013902080 has 2880 divisors, whose sum is σ = 386997399613440. Its totient is φ = 19376249241600.

The previous prime is 89617013902067. The next prime is 89617013902103. The reversal of 89617013902080 is 8020931071698.

89617013902080 is a `hidden beast` number, since 8 + 9 + 6 + 170 + 1 + 390 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 194396993050 + ... + 194396993510.

It is an arithmetic number, because the mean of its divisors is an integer number (134374097088).

Almost surely, 2^{89617013902080} is an apocalyptic number.

89617013902080 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 89617013902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193498699806720).

89617013902080 is an abundant number, since it is smaller than the sum of its proper divisors (297380385711360).

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

89617013902080 is a wasteful number, since it uses less digits than its factorization.

89617013902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 89617013902080 in words is "eighty-nine trillion, six hundred seventeen billion, thirteen million, nine hundred two thousand, eighty".