71950870080 has 224 divisors, whose sum is σ = 254652353280. Its totient is φ = 19124490240.

The previous prime is 71950870063. The next prime is 71950870097. The reversal of 71950870080 is 8007805917.

71950870080 is a `hidden beast` number, since 71 + 9 + 508 + 70 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71950870063) and next prime (71950870097).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2673652 + ... + 2700428.

Almost surely, 2^71950870080 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 71950870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127326176640).

71950870080 is an abundant number, since it is smaller than the sum of its proper divisors (182701483200).

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

71950870080 is a wasteful number, since it uses less digits than its factorization.

71950870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27114 (or 27098 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 71950870080 in words is "seventy-one billion, nine hundred fifty million, eight hundred seventy thousand, eighty".