88528412849280 has 256 divisors, whose sum is σ = 282437975520000. Its totient is φ = 23586367537152.

The previous prime is 88528412849161. The next prime is 88528412849339. The reversal of 88528412849280 is 8294821482588.

It is a super-2 number, since 2×88528412849280² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14239728732 + ... + 14239734948.

It is an arithmetic number, because the mean of its divisors is an integer number (1103273341875).

Almost surely, 2^{88528412849280} is an apocalyptic number.

88528412849280 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 88528412849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141218987760000).

88528412849280 is an abundant number, since it is smaller than the sum of its proper divisors (193909562670720).

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

88528412849280 is a wasteful number, since it uses less digits than its factorization.

88528412849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11711 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 188743680, while the sum is 69.

The spelling of 88528412849280 in words is "eighty-eight trillion, five hundred twenty-eight billion, four hundred twelve million, eight hundred forty-nine thousand, two hundred eighty".