88472470732800 has 3240 divisors, whose sum is σ = 386359639525440. Its totient is φ = 17662869504000.

The previous prime is 88472470732771. The next prime is 88472470732847. The reversal of 88472470732800 is 823707427488.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 636492595131 + ... + 636492595269.

Almost surely, 2^{88472470732800} is an apocalyptic number.

88472470732800 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 88472470732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193179819762720).

88472470732800 is an abundant number, since it is smaller than the sum of its proper divisors (297887168792640).

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

88472470732800 is a wasteful number, since it uses less digits than its factorization.

88472470732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 60.

The spelling of 88472470732800 in words is "eighty-eight trillion, four hundred seventy-two billion, four hundred seventy million, seven hundred thirty-two thousand, eight hundred".