71412085760 has 176 divisors, whose sum is σ = 176096761344. Its totient is φ = 27774025728.

The previous prime is 71412085757. The next prime is 71412085819. The reversal of 71412085760 is 6758021417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40185992 + ... + 40187768.

Almost surely, 2^71412085760 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 71412085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88048380672).

71412085760 is an abundant number, since it is smaller than the sum of its proper divisors (104684675584).

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

71412085760 is a wasteful number, since it uses less digits than its factorization.

71412085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 71412085760 in words is "seventy-one billion, four hundred twelve million, eighty-five thousand, seven hundred sixty".