253272451104 has 120 divisors (see below), whose sum is σ = 745050797568. Its totient is φ = 84403347840.

The previous prime is 253272451093. The next prime is 253272451147. The reversal of 253272451104 is 401154272352.

253272451104 is a `hidden beast` number, since 2 + 5 + 32 + 72 + 451 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13383409 + ... + 13402319.

Almost surely, 2^253272451104 is an apocalyptic number.

253272451104 is a gapful number since it is divisible by the number (24) 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 253272451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372525398784).

253272451104 is an abundant number, since it is smaller than the sum of its proper divisors (491778346464).

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

253272451104 is a wasteful number, since it uses less digits than its factorization.

253272451104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24100 (or 24083 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 253272451104 in words is "two hundred fifty-three billion, two hundred seventy-two million, four hundred fifty-one thousand, one hundred four".