8071972573104 has 240 divisors, whose sum is σ = 25565983672320. Its totient is φ = 2445165377280.

The previous prime is 8071972573097. The next prime is 8071972573127. The reversal of 8071972573104 is 4013752791708.

8071972573104 is a `hidden beast` number, since 8 + 0 + 71 + 9 + 7 + 257 + 310 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 123096294 + ... + 123161850.

It is an arithmetic number, because the mean of its divisors is an integer number (106524931968).

Almost surely, 2^{8071972573104} 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 8071972573104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12782991836160).

8071972573104 is an abundant number, since it is smaller than the sum of its proper divisors (17494011099216).

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

8071972573104 is a wasteful number, since it uses less digits than its factorization.

8071972573104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68470 (or 68452 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 8071972573104 in words is "eight trillion, seventy-one billion, nine hundred seventy-two million, five hundred seventy-three thousand, one hundred four".