89427179520 has 1536 divisors, whose sum is σ = 396264960000. Its totient is φ = 19074908160.

The previous prime is 89427179473. The next prime is 89427179641. The reversal of 89427179520 is 2597172498.

89427179520 is a `hidden beast` number, since 8 + 9 + 42 + 7 + 1 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2181150700 + ... + 2181150740.

It is an arithmetic number, because the mean of its divisors is an integer number (257985000).

Almost surely, 2^89427179520 is an apocalyptic number.

89427179520 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 89427179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480000).

89427179520 is an abundant number, since it is smaller than the sum of its proper divisors (306837780480).

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

89427179520 is a wasteful number, since it uses less digits than its factorization.

89427179520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 89427179520 in words is "eighty-nine billion, four hundred twenty-seven million, one hundred seventy-nine thousand, five hundred twenty".