88309061568 has 672 divisors, whose sum is σ = 337243984896. Its totient is φ = 22269468672.

The previous prime is 88309061527. The next prime is 88309061587. The reversal of 88309061568 is 86516090388.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32548980 + ... + 32551692.

It is an arithmetic number, because the mean of its divisors is an integer number (501851168).

Almost surely, 2^88309061568 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 88309061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168621992448).

88309061568 is an abundant number, since it is smaller than the sum of its proper divisors (248934923328).

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

88309061568 is a wasteful number, since it uses less digits than its factorization.

88309061568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 88309061568 in words is "eighty-eight billion, three hundred nine million, sixty-one thousand, five hundred sixty-eight".