6256556163072 has 660 divisors, whose sum is σ = 19503264419520. Its totient is φ = 2004574666752.

The previous prime is 6256556163049. The next prime is 6256556163079. The reversal of 6256556163072 is 2703616556526.

6256556163072 is a `hidden beast` number, since 6 + 2 + 5 + 6 + 5 + 561 + 6 + 3 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6256556163079) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 28056305553 + ... + 28056305775.

Almost surely, 2^{6256556163072} 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 6256556163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9751632209760).

6256556163072 is an abundant number, since it is smaller than the sum of its proper divisors (13246708256448).

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

6256556163072 is an frugal number, since it uses more digits than its factorization.

6256556163072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 6256556163072 in words is "six trillion, two hundred fifty-six billion, five hundred fifty-six million, one hundred sixty-three thousand, seventy-two".