88680268000896 has 256 divisors, whose sum is σ = 278049840929280. Its totient is φ = 24688103731200.

The previous prime is 88680268000823. The next prime is 88680268000927. The reversal of 88680268000896 is 69800086208688.

It is a self number, because there is not a number n which added to its sum of digits gives 88680268000896.

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, 7759531 + ... + 15413333.

It is an arithmetic number, because the mean of its divisors is an integer number (1086132191130).

Almost surely, 2^{88680268000896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88680268000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139024920464640).

88680268000896 is an abundant number, since it is smaller than the sum of its proper divisors (189369572928384).

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

88680268000896 is a wasteful number, since it uses less digits than its factorization.

88680268000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654055 (or 7654043 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 69.

The spelling of 88680268000896 in words is "eighty-eight trillion, six hundred eighty billion, two hundred sixty-eight million, eight hundred ninety-six", and thus it is an aban number.