88171612992 has 336 divisors, whose sum is σ = 273296237760. Its totient is φ = 28150198272.

The previous prime is 88171612909. The next prime is 88171612999. The reversal of 88171612992 is 29921617188.

It is a happy number.

88171612992 is a `hidden beast` number, since 8 + 8 + 17 + 1 + 612 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×88171612992² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88171612999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61787383 + ... + 61788809.

It is an arithmetic number, because the mean of its divisors is an integer number (813381660).

Almost surely, 2^88171612992 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 88171612992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136648118880).

88171612992 is an abundant number, since it is smaller than the sum of its proper divisors (185124624768).

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

88171612992 is a wasteful number, since it uses less digits than its factorization.

88171612992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1598 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 88171612992 in words is "eighty-eight billion, one hundred seventy-one million, six hundred twelve thousand, nine hundred ninety-two".