253274950656 has 1056 divisors, whose sum is σ = 957365196480. Its totient is φ = 65548320768.

The previous prime is 253274950613. The next prime is 253274950673. The reversal of 253274950656 is 656059472352.

It is a happy number.

253274950656 is a `hidden beast` number, since 2 + 532 + 7 + 4 + 9 + 50 + 6 + 56 = 666.

253274950656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 1285659550 + ... + 1285659746.

It is an arithmetic number, because the mean of its divisors is an integer number (906595830).

Almost surely, 2^253274950656 is an apocalyptic number.

253274950656 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 253274950656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478682598240).

253274950656 is an abundant number, since it is smaller than the sum of its proper divisors (704090245824).

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

253274950656 is a wasteful number, since it uses less digits than its factorization.

253274950656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 295 counting only the distinct ones).

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

The spelling of 253274950656 in words is "two hundred fifty-three billion, two hundred seventy-four million, nine hundred fifty thousand, six hundred fifty-six".