56418536119680 has 1344 divisors, whose sum is σ = 235538554758480. Its totient is φ = 12879116328960.

The previous prime is 56418536119633. The next prime is 56418536119703. The reversal of 56418536119680 is 8691163581465.

56418536119680 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 8 + 5 + 3 + 611 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 31571647747 + ... + 31571649533.

Almost surely, 2^{56418536119680} 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 56418536119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117769277379240).

56418536119680 is an abundant number, since it is smaller than the sum of its proper divisors (179120018638800).

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

56418536119680 is a wasteful number, since it uses less digits than its factorization.

56418536119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 56418536119680 in words is "fifty-six trillion, four hundred eighteen billion, five hundred thirty-six million, one hundred nineteen thousand, six hundred eighty".