71516165760 has 1024 divisors, whose sum is σ = 294506150400. Its totient is φ = 16243752960.

The previous prime is 71516165689. The next prime is 71516165779. The reversal of 71516165760 is 6756161517.

71516165760 is a `hidden beast` number, since 7 + 1 + 516 + 1 + 65 + 76 + 0 = 666.

It is a super-2 number, since 2×71516165760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 232951527 + ... + 232951833.

Almost surely, 2^71516165760 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 71516165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147253075200).

71516165760 is an abundant number, since it is smaller than the sum of its proper divisors (222989984640).

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

71516165760 is a wasteful number, since it uses less digits than its factorization.

71516165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 71516165760 in words is "seventy-one billion, five hundred sixteen million, one hundred sixty-five thousand, seven hundred sixty".