71930116177920 has 4608 divisors, whose sum is σ = 357168117841920. Its totient is φ = 13249806336000.

The previous prime is 71930116177919. The next prime is 71930116177987. The reversal of 71930116177920 is 2977161103917.

It is a happy number.

71930116177920 is a `hidden beast` number, since 7 + 1 + 9 + 3 + 0 + 11 + 617 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×71930116177920² (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 549084856255 + ... + 549084856385.

It is an arithmetic number, because the mean of its divisors is an integer number (77510442240).

Almost surely, 2^{71930116177920} is an apocalyptic number.

71930116177920 is a gapful number since it is divisible by the number (70) 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 71930116177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178584058920960).

71930116177920 is an abundant number, since it is smaller than the sum of its proper divisors (285238001664000).

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

71930116177920 is a wasteful number, since it uses less digits than its factorization.

71930116177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 54.

The spelling of 71930116177920 in words is "seventy-one trillion, nine hundred thirty billion, one hundred sixteen million, one hundred seventy-seven thousand, nine hundred twenty".