88450957795200 has 2304 divisors, whose sum is σ = 395205041925120. Its totient is φ = 16919248896000.

The previous prime is 88450957795169. The next prime is 88450957795247. The reversal of 88450957795200 is 259775905488.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48307458285 + ... + 48307460115.

Almost surely, 2^{88450957795200} is an apocalyptic number.

88450957795200 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 88450957795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197602520962560).

88450957795200 is an abundant number, since it is smaller than the sum of its proper divisors (306754084129920).

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

88450957795200 is a wasteful number, since it uses less digits than its factorization.

88450957795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 69.

The spelling of 88450957795200 in words is "eighty-eight trillion, four hundred fifty billion, nine hundred fifty-seven million, seven hundred ninety-five thousand, two hundred".