88061738688 has 672 divisors, whose sum is σ = 342047047680. Its totient is φ = 20964096000.

The previous prime is 88061738663. The next prime is 88061738689. The reversal of 88061738688 is 88683716088.

88061738688 is a `hidden beast` number, since 8 + 8 + 0 + 617 + 3 + 8 + 6 + 8 + 8 = 666.

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

It is a super-2 number, since 2×88061738688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (88061738689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26121643 + ... + 26125013.

Almost surely, 2^88061738688 is an apocalyptic number.

88061738688 is a gapful number since it is divisible by the number (88) 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 88061738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171023523840).

88061738688 is an abundant number, since it is smaller than the sum of its proper divisors (253985308992).

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

88061738688 is a wasteful number, since it uses less digits than its factorization.

88061738688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 88061738688 in words is "eighty-eight billion, sixty-one million, seven hundred thirty-eight thousand, six hundred eighty-eight".