88954751460960 has 3840 divisors, whose sum is σ = 427074952550400. Its totient is φ = 17224642068480.

The previous prime is 88954751460917. The next prime is 88954751460973. The reversal of 88954751460960 is 6906415745988.

88954751460960 is a `hidden beast` number, since 8 + 8 + 9 + 5 + 4 + 7 + 5 + 1 + 4 + 609 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 93933211207 + ... + 93933212153.

It is an arithmetic number, because the mean of its divisors is an integer number (111217435560).

Almost surely, 2^{88954751460960} is an apocalyptic number.

88954751460960 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 88954751460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213537476275200).

88954751460960 is an abundant number, since it is smaller than the sum of its proper divisors (338120201089440).

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

88954751460960 is a wasteful number, since it uses less digits than its factorization.

88954751460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 88954751460960 in words is "eighty-eight trillion, nine hundred fifty-four billion, seven hundred fifty-one million, four hundred sixty thousand, nine hundred sixty".