56382084861696 has 288 divisors, whose sum is σ = 182060867600640. Its totient is φ = 17069352652800.

The previous prime is 56382084861659. The next prime is 56382084861709. The reversal of 56382084861696 is 69616848028365.

56382084861696 is a `hidden beast` number, since 5 + 6 + 3 + 82 + 0 + 8 + 486 + 1 + 69 + 6 = 666.

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

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 80320491 + ... + 81019413.

It is an arithmetic number, because the mean of its divisors is an integer number (632155790280).

Almost surely, 2^{56382084861696} 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 56382084861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91030433800320).

56382084861696 is an abundant number, since it is smaller than the sum of its proper divisors (125678782738944).

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

56382084861696 is a wasteful number, since it uses less digits than its factorization.

56382084861696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700020 (or 700000 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 56382084861696 in words is "fifty-six trillion, three hundred eighty-two billion, eighty-four million, eight hundred sixty-one thousand, six hundred ninety-six".