253047520320 has 224 divisors, whose sum is σ = 925434052608. Its totient is φ = 57383811072.

The previous prime is 253047520303. The next prime is 253047520337. The reversal of 253047520320 is 23025740352.

It is an interprime number because it is at equal distance from previous prime (253047520303) and next prime (253047520337).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705189 + ... + 1001691.

Almost surely, 2^253047520320 is an apocalyptic number.

253047520320 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 253047520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462717026304).

253047520320 is an abundant number, since it is smaller than the sum of its proper divisors (672386532288).

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

253047520320 is a wasteful number, since it uses less digits than its factorization.

253047520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296657 (or 296647 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The spelling of 253047520320 in words is "two hundred fifty-three billion, forty-seven million, five hundred twenty thousand, three hundred twenty".