88521084956160 has 1280 divisors, whose sum is σ = 335588520960000. Its totient is φ = 22040500764672.

The previous prime is 88521084956159. The next prime is 88521084956189. The reversal of 88521084956160 is 6165948012588.

88521084956160 is a `hidden beast` number, since 8 + 8 + 5 + 2 + 1 + 0 + 8 + 4 + 9 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130754925742 + ... + 130754926418.

It is an arithmetic number, because the mean of its divisors is an integer number (262178532000).

Almost surely, 2^{88521084956160} is an apocalyptic number.

88521084956160 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 88521084956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167794260480000).

88521084956160 is an abundant number, since it is smaller than the sum of its proper divisors (247067436003840).

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

88521084956160 is a wasteful number, since it uses less digits than its factorization.

88521084956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 88521084956160 in words is "eighty-eight trillion, five hundred twenty-one billion, eighty-four million, nine hundred fifty-six thousand, one hundred sixty".