56617063776 has 1152 divisors, whose sum is σ = 221908377600. Its totient is φ = 13795246080.

The previous prime is 56617063753. The next prime is 56617063831. The reversal of 56617063776 is 67736071665.

It is a happy number.

56617063776 is a `hidden beast` number, since 566 + 1 + 7 + 0 + 6 + 3 + 7 + 76 = 666.

56617063776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 636146740 + ... + 636146828.

It is an arithmetic number, because the mean of its divisors is an integer number (192628800).

Almost surely, 2^56617063776 is an apocalyptic number.

56617063776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56617063776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110954188800).

56617063776 is an abundant number, since it is smaller than the sum of its proper divisors (165291313824).

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

56617063776 is a wasteful number, since it uses less digits than its factorization.

56617063776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 56617063776 in words is "fifty-six billion, six hundred seventeen million, sixty-three thousand, seven hundred seventy-six".