253446600960 has 216 divisors, whose sum is σ = 1002170420160. Its totient is φ = 57930633216.

The previous prime is 253446600949. The next prime is 253446600977. The reversal of 253446600960 is 69006644352.

253446600960 is a `hidden beast` number, since 2 + 5 + 34 + 4 + 6 + 600 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1490830 + ... + 1652109.

Almost surely, 2^253446600960 is an apocalyptic number.

253446600960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253446600960 is an abundant number, since it is smaller than the sum of its proper divisors (748723819200).

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

253446600960 is a wasteful number, since it uses less digits than its factorization.

253446600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142973 (or 3142956 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 253446600960 in words is "two hundred fifty-three billion, four hundred forty-six million, six hundred thousand, nine hundred sixty".