88730534400 has 960 divisors, whose sum is σ = 331540387200. Its totient is φ = 20808990720.

The previous prime is 88730534339. The next prime is 88730534411. The reversal of 88730534400 is 443503788.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 814041546 + ... + 814041654.

It is an arithmetic number, because the mean of its divisors is an integer number (345354570).

Almost surely, 2^88730534400 is an apocalyptic number.

88730534400 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 88730534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165770193600).

88730534400 is an abundant number, since it is smaller than the sum of its proper divisors (242809852800).

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

88730534400 is a wasteful number, since it uses less digits than its factorization.

88730534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 88730534400 in words is "eighty-eight billion, seven hundred thirty million, five hundred thirty-four thousand, four hundred".