89172264960 has 240 divisors, whose sum is σ = 319624004700. Its totient is φ = 23779049472.

The previous prime is 89172264941. The next prime is 89172265027. The reversal of 89172264960 is 6946227198.

89172264960 is a `hidden beast` number, since 89 + 1 + 72 + 2 + 6 + 496 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86803301376 + 2368963584 = 294624^2 + 48672^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 89172264897 and 89172264906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 775686 + ... + 883194.

Almost surely, 2^89172264960 is an apocalyptic number.

89172264960 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 89172264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159812002350).

89172264960 is an abundant number, since it is smaller than the sum of its proper divisors (230451739740).

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

89172264960 is a wasteful number, since it uses less digits than its factorization.

89172264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107548 (or 107519 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 89172264960 in words is "eighty-nine billion, one hundred seventy-two million, two hundred sixty-four thousand, nine hundred sixty".