56037485372256 has 144 divisors (see below), whose sum is σ = 161418915337680. Its totient is φ = 18438133063680.

The previous prime is 56037485372251. The next prime is 56037485372273. The reversal of 56037485372256 is 65227358473065.

56037485372256 is a `hidden beast` number, since 5 + 6 + 0 + 3 + 7 + 4 + 8 + 5 + 372 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 56037485372193 and 56037485372202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56037485372251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13356411 + ... + 17043141.

It is an arithmetic number, because the mean of its divisors is an integer number (1120964689845).

Almost surely, 2^{56037485372256} 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 56037485372256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80709457668840).

56037485372256 is an abundant number, since it is smaller than the sum of its proper divisors (105381429965424).

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

56037485372256 is a wasteful number, since it uses less digits than its factorization.

56037485372256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687429 (or 3687418 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 56037485372256 in words is "fifty-six trillion, thirty-seven billion, four hundred eighty-five million, three hundred seventy-two thousand, two hundred fifty-six".