56084661696 has 224 divisors, whose sum is σ = 177231495168. Its totient is φ = 15304227840.

The previous prime is 56084661683. The next prime is 56084661697. The reversal of 56084661696 is 69616648065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56084661697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33724161 + ... + 33725823.

It is an arithmetic number, because the mean of its divisors is an integer number (791212032).

Almost surely, 2^56084661696 is an apocalyptic number.

56084661696 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 56084661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88615747584).

56084661696 is an abundant number, since it is smaller than the sum of its proper divisors (121146833472).

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

56084661696 is a wasteful number, since it uses less digits than its factorization.

56084661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 56084661696 in words is "fifty-six billion, eighty-four million, six hundred sixty-one thousand, six hundred ninety-six".