7712561125152 has 144 divisors (see below), whose sum is σ = 24122266197120. Its totient is φ = 2322604279296.

The previous prime is 7712561125097. The next prime is 7712561125169. The reversal of 7712561125152 is 2515211652177.

7712561125152 is a `hidden beast` number, since 7 + 7 + 1 + 2 + 5 + 611 + 25 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 7712561125098 and 7712561125107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21738702 + ... + 22090637.

It is an arithmetic number, because the mean of its divisors is an integer number (167515737480).

Almost surely, 2^{7712561125152} is an apocalyptic number.

7712561125152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7712561125152 is an abundant number, since it is smaller than the sum of its proper divisors (16409705071968).

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

7712561125152 is a wasteful number, since it uses less digits than its factorization.

7712561125152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43829415 (or 43829404 counting only the distinct ones).

The product of its digits is 294000, while the sum is 45.

The spelling of 7712561125152 in words is "seven trillion, seven hundred twelve billion, five hundred sixty-one million, one hundred twenty-five thousand, one hundred fifty-two".