56024626726656 has 432 divisors, whose sum is σ = 185525448908800. Its totient is φ = 15927676600320.

The previous prime is 56024626726639. The next prime is 56024626726657. The reversal of 56024626726656 is 65662762642065.

56024626726656 is a `hidden beast` number, since 5 + 6 + 0 + 2 + 462 + 67 + 2 + 66 + 56 = 666.

It is a super-2 number, since 2×56024626726656² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 56024626726593 and 56024626726602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56024626726657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5437695201 + ... + 5437705503.

Almost surely, 2^{56024626726656} is an apocalyptic number.

56024626726656 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 56024626726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92762724454400).

56024626726656 is an abundant number, since it is smaller than the sum of its proper divisors (129500822182144).

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

56024626726656 is a wasteful number, since it uses less digits than its factorization.

56024626726656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11972 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 56024626726656 in words is "fifty-six trillion, twenty-four billion, six hundred twenty-six million, seven hundred twenty-six thousand, six hundred fifty-six".