5255914438656 has 1200 divisors, whose sum is σ = 19841036092416. Its totient is φ = 1350970638336.

The previous prime is 5255914438631. The next prime is 5255914438667. The reversal of 5255914438656 is 6568344195525.

5255914438656 is a `hidden beast` number, since 5 + 2 + 5 + 591 + 4 + 4 + 38 + 6 + 5 + 6 = 666.

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 = 5255914438593 and 5255914438602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3632282925 + ... + 3632284371.

Almost surely, 2^{5255914438656} is an apocalyptic number.

5255914438656 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 5255914438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9920518046208).

5255914438656 is an abundant number, since it is smaller than the sum of its proper divisors (14585121653760).

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

5255914438656 is a wasteful number, since it uses less digits than its factorization.

5255914438656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1499 counting only the distinct ones).

The product of its digits is 155520000, while the sum is 63.

The spelling of 5255914438656 in words is "five trillion, two hundred fifty-five billion, nine hundred fourteen million, four hundred thirty-eight thousand, six hundred fifty-six".