88901125447680 has 3584 divisors, whose sum is σ = 408386197094400. Its totient is φ = 17843412271104.

The previous prime is 88901125447663. The next prime is 88901125447727. The reversal of 88901125447680 is 8674452110988.

88901125447680 is a `hidden beast` number, since 8 + 8 + 9 + 0 + 1 + 1 + 2 + 544 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

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 255 ways as a sum of consecutive naturals, for example, 242237398857 + ... + 242237399223.

It is an arithmetic number, because the mean of its divisors is an integer number (113947041600).

Almost surely, 2^{88901125447680} is an apocalyptic number.

88901125447680 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 88901125447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204193098547200).

88901125447680 is an abundant number, since it is smaller than the sum of its proper divisors (319485071646720).

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

88901125447680 is a wasteful number, since it uses less digits than its factorization.

88901125447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 88901125447680 in words is "eighty-eight trillion, nine hundred one billion, one hundred twenty-five million, four hundred forty-seven thousand, six hundred eighty".