88571006304000 has 576 divisors, whose sum is σ = 321052998809088. Its totient is φ = 21463732224000.

The previous prime is 88571006303951. The next prime is 88571006304007. The reversal of 88571006304000 is 40360017588.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88571006304007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3118353799 + ... + 3118382201.

It is an arithmetic number, because the mean of its divisors is an integer number (557383678488).

Almost surely, 2^{88571006304000} is an apocalyptic number.

88571006304000 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 88571006304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160526499404544).

88571006304000 is an abundant number, since it is smaller than the sum of its proper divisors (232481992505088).

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

88571006304000 is a wasteful number, since it uses less digits than its factorization.

88571006304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31401 (or 31377 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 88571006304000 in words is "eighty-eight trillion, five hundred seventy-one billion, six million, three hundred four thousand".