253786006656 has 640 divisors, whose sum is σ = 959650728960. Its totient is φ = 64765992960.

The previous prime is 253786006631. The next prime is 253786006667. The reversal of 253786006656 is 656600687352.

It is a happy number.

253786006656 is a `hidden beast` number, since 25 + 3 + 7 + 8 + 600 + 6 + 6 + 5 + 6 = 666.

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

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, 29243790 + ... + 29252466.

It is an arithmetic number, because the mean of its divisors is an integer number (1499454264).

Almost surely, 2^253786006656 is an apocalyptic number.

253786006656 is a gapful number since it is divisible by the number (26) 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 253786006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479825364480).

253786006656 is an abundant number, since it is smaller than the sum of its proper divisors (705864722304).

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

253786006656 is a wasteful number, since it uses less digits than its factorization.

253786006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8754 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 253786006656 in words is "two hundred fifty-three billion, seven hundred eighty-six million, six thousand, six hundred fifty-six".