5972713044480 has 3200 divisors, whose sum is σ = 28592042992128. Its totient is φ = 1155790798848.

The previous prime is 5972713044371. The next prime is 5972713044499. The reversal of 5972713044480 is 844403172795.

5972713044480 is a `hidden beast` number, since 5 + 9 + 7 + 27 + 130 + 4 + 4 + 480 = 666.

It is a super-2 number, since 2×5972713044480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13793794344 + ... + 13793794776.

Almost surely, 2^{5972713044480} 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 5972713044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296021496064).

5972713044480 is an abundant number, since it is smaller than the sum of its proper divisors (22619329947648).

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

5972713044480 is a wasteful number, since it uses less digits than its factorization.

5972713044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 5972713044480 in words is "five trillion, nine hundred seventy-two billion, seven hundred thirteen million, forty-four thousand, four hundred eighty".