71957154816 has 220 divisors, whose sum is σ = 220695061488. Its totient is φ = 23336460288.

The previous prime is 71957154809. The next prime is 71957154823. The reversal of 71957154816 is 61845175917.

71957154816 is a `hidden beast` number, since 7 + 1 + 9 + 571 + 54 + 8 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (71957154809) and next prime (71957154823).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3057205 + ... + 3080651.

Almost surely, 2^71957154816 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 71957154816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110347530744).

71957154816 is an abundant number, since it is smaller than the sum of its proper divisors (148737906672).

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

71957154816 is a wasteful number, since it uses less digits than its factorization.

71957154816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23516 (or 23489 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 54.

The spelling of 71957154816 in words is "seventy-one billion, nine hundred fifty-seven million, one hundred fifty-four thousand, eight hundred sixteen".