88985568414720 has 704 divisors, whose sum is σ = 297076726734336. Its totient is φ = 22712376360960.

The previous prime is 88985568414661. The next prime is 88985568414767. The reversal of 88985568414720 is 2741486558988.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42760964080 + ... + 42760966160.

Almost surely, 2^{88985568414720} is an apocalyptic number.

88985568414720 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 88985568414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148538363367168).

88985568414720 is an abundant number, since it is smaller than the sum of its proper divisors (208091158319616).

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

88985568414720 is a wasteful number, since it uses less digits than its factorization.

88985568414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 75.

The spelling of 88985568414720 in words is "eighty-eight trillion, nine hundred eighty-five billion, five hundred sixty-eight million, four hundred fourteen thousand, seven hundred twenty".