71568087360 has 448 divisors, whose sum is σ = 298214369280. Its totient is φ = 14088314880.

The previous prime is 71568087323. The next prime is 71568087373. The reversal of 71568087360 is 6378086517.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×71568087360² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1379002 + ... + 1429958.

Almost surely, 2^71568087360 is an apocalyptic number.

71568087360 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 71568087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149107184640).

71568087360 is an abundant number, since it is smaller than the sum of its proper divisors (226646281920).

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

71568087360 is a wasteful number, since it uses less digits than its factorization.

71568087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51014 (or 51004 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 71568087360 in words is "seventy-one billion, five hundred sixty-eight million, eighty-seven thousand, three hundred sixty".