88895053759680 has 672 divisors, whose sum is σ = 350462234304000. Its totient is φ = 20259638231040.

The previous prime is 88895053759627. The next prime is 88895053759693. The reversal of 88895053759680 is 8695735059888.

88895053759680 is a `hidden beast` number, since 8 + 8 + 89 + 5 + 0 + 5 + 375 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 88895053759680.

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 95 ways as a sum of consecutive naturals, for example, 13148207500 + ... + 13148214260.

It is an arithmetic number, because the mean of its divisors is an integer number (521521182000).

Almost surely, 2^{88895053759680} is an apocalyptic number.

88895053759680 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 88895053759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175231117152000).

88895053759680 is an abundant number, since it is smaller than the sum of its proper divisors (261567180544320).

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

88895053759680 is a wasteful number, since it uses less digits than its factorization.

88895053759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8597 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 5225472000, while the sum is 81.

The spelling of 88895053759680 in words is "eighty-eight trillion, eight hundred ninety-five billion, fifty-three million, seven hundred fifty-nine thousand, six hundred eighty".