56706693120 has 1152 divisors, whose sum is σ = 250948938240. Its totient is φ = 11501568000.

The previous prime is 56706693101. The next prime is 56706693163. The reversal of 56706693120 is 2139660765.

56706693120 is a `hidden beast` number, since 567 + 0 + 6 + 69 + 3 + 1 + 20 = 666.

56706693120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432875455 + ... + 432875585.

It is an arithmetic number, because the mean of its divisors is an integer number (217837620).

Almost surely, 2^56706693120 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 56706693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125474469120).

56706693120 is an abundant number, since it is smaller than the sum of its proper divisors (194242245120).

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

56706693120 is a wasteful number, since it uses less digits than its factorization.

56706693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 56706693120 in words is "fifty-six billion, seven hundred six million, six hundred ninety-three thousand, one hundred twenty".