88892400480 has 96 divisors (see below), whose sum is σ = 301550395104. Its totient is φ = 21881204736.

The previous prime is 88892400479. The next prime is 88892400497. The reversal of 88892400480 is 8400429888.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7116549 + ... + 7129028.

It is an arithmetic number, because the mean of its divisors is an integer number (3141149949).

Almost surely, 2^88892400480 is an apocalyptic number.

88892400480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88892400480 is an abundant number, since it is smaller than the sum of its proper divisors (212657994624).

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

88892400480 is a wasteful number, since it uses less digits than its factorization.

88892400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14245608 (or 14245600 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 88892400480 in words is "eighty-eight billion, eight hundred ninety-two million, four hundred thousand, four hundred eighty".