71974053760896 has 256 divisors, whose sum is σ = 257050193472000. Its totient is φ = 19354367287296.

The previous prime is 71974053760883. The next prime is 71974053760967. The reversal of 71974053760896 is 69806735047917.

It is a happy number.

71974053760896 is a `hidden beast` number, since 7 + 1 + 9 + 7 + 4 + 0 + 5 + 3 + 7 + 608 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 87092206 + ... + 87914733.

It is an arithmetic number, because the mean of its divisors is an integer number (1004102318250).

Almost surely, 2^{71974053760896} is an apocalyptic number.

It is an amenable number.

71974053760896 is an abundant number, since it is smaller than the sum of its proper divisors (185076139711104).

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

71974053760896 is a wasteful number, since it uses less digits than its factorization.

71974053760896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175006986 (or 175006968 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 71974053760896 in words is "seventy-one trillion, nine hundred seventy-four billion, fifty-three million, seven hundred sixty thousand, eight hundred ninety-six".