253396615680 has 1600 divisors, whose sum is σ = 1052088162048. Its totient is φ = 57808650240.

The previous prime is 253396615679. The next prime is 253396615691. The reversal of 253396615680 is 86516693352.

It is a happy number.

253396615680 is a `hidden beast` number, since 2 + 533 + 96 + 6 + 15 + 6 + 8 + 0 = 666.

253396615680 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3782039007 + ... + 3782039073.

Almost surely, 2^253396615680 is an apocalyptic number.

253396615680 is a gapful number since it is divisible by the number (20) 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 253396615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526044081024).

253396615680 is an abundant number, since it is smaller than the sum of its proper divisors (798691546368).

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

253396615680 is a wasteful number, since it uses less digits than its factorization.

253396615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 253396615680 in words is "two hundred fifty-three billion, three hundred ninety-six million, six hundred fifteen thousand, six hundred eighty".