75792265056 has 240 divisors, whose sum is σ = 240103277568. Its totient is φ = 23385542400.

The previous prime is 75792265051. The next prime is 75792265069. The reversal of 75792265056 is 65056229757.

75792265056 is a `hidden beast` number, since 7 + 579 + 2 + 2 + 65 + 0 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 75792264993 and 75792265011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75792265051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1827591 + ... + 1868601.

Almost surely, 2^75792265056 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 75792265056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120051638784).

75792265056 is an abundant number, since it is smaller than the sum of its proper divisors (164311012512).

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

75792265056 is a wasteful number, since it uses less digits than its factorization.

75792265056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41087 (or 41070 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 75792265056 in words is "seventy-five billion, seven hundred ninety-two million, two hundred sixty-five thousand, fifty-six".