88061600772 has 72 divisors (see below), whose sum is σ = 227908640960. Its totient is φ = 28654637760.

The previous prime is 88061600743. The next prime is 88061600797. The reversal of 88061600772 is 27700616088.

It is a super-3 number, since 3×88061600772³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2818854 + ... + 2849922.

Almost surely, 2^88061600772 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 88061600772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113954320480).

88061600772 is an abundant number, since it is smaller than the sum of its proper divisors (139847040188).

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

88061600772 is a wasteful number, since it uses less digits than its factorization.

88061600772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32953 (or 32948 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 88061600772 in words is "eighty-eight billion, sixty-one million, six hundred thousand, seven hundred seventy-two".