88289574912000 has 2944 divisors, whose sum is σ = 412059113256960. Its totient is φ = 18345885696000.

The previous prime is 88289574911959. The next prime is 88289574912023. The reversal of 88289574912000 is 21947598288.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 6! ⋅ (2!)⁸.

88289574912000 is a `hidden beast` number, since 88 + 289 + 5 + 74 + 9 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8026324991995 + ... + 8026324992005.

Almost surely, 2^{88289574912000} is an apocalyptic number.

88289574912000 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 88289574912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206029556628480).

88289574912000 is an abundant number, since it is smaller than the sum of its proper divisors (323769538344960).

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

88289574912000 is an frugal number, since it uses more digits than its factorization.

88289574912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 88289574912000 in words is "eighty-eight trillion, two hundred eighty-nine billion, five hundred seventy-four million, nine hundred twelve thousand".