71994511542960 has 800 divisors, whose sum is σ = 262974939955200. Its totient is φ = 18231895756800.

The previous prime is 71994511542959. The next prime is 71994511543099. The reversal of 71994511542960 is 6924511549917.

71994511542960 is a `hidden beast` number, since 7 + 1 + 9 + 9 + 4 + 511 + 54 + 2 + 9 + 60 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2918171425 + ... + 2918196095.

It is an arithmetic number, because the mean of its divisors is an integer number (328718674944).

Almost surely, 2^{71994511542960} 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 71994511542960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131487469977600).

71994511542960 is an abundant number, since it is smaller than the sum of its proper divisors (190980428412240).

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

71994511542960 is a wasteful number, since it uses less digits than its factorization.

71994511542960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24999 (or 24984 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 71994511542960 in words is "seventy-one trillion, nine hundred ninety-four billion, five hundred eleven million, five hundred forty-two thousand, nine hundred sixty".