56617577995104 has 288 divisors, whose sum is σ = 192572889949440. Its totient is φ = 16028041370112.

The previous prime is 56617577995091. The next prime is 56617577995117. The reversal of 56617577995104 is 40159977571665.

56617577995104 is a `hidden beast` number, since 5 + 6 + 6 + 17 + 5 + 7 + 7 + 99 + 510 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56617577995091) and next prime (56617577995117).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 1161747 + ... + 10704429.

It is an arithmetic number, because the mean of its divisors is an integer number (668655867880).

Almost surely, 2^{56617577995104} is an apocalyptic number.

56617577995104 is a gapful number since it is divisible by the number (54) 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 56617577995104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96286444974720).

56617577995104 is an abundant number, since it is smaller than the sum of its proper divisors (135955311954336).

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

56617577995104 is a wasteful number, since it uses less digits than its factorization.

56617577995104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9542824 (or 9542804 counting only the distinct ones).

The product of its (nonzero) digits is 500094000, while the sum is 72.

The spelling of 56617577995104 in words is "fifty-six trillion, six hundred seventeen billion, five hundred seventy-seven million, nine hundred ninety-five thousand, one hundred four".