253408512720 has 160 divisors (see below), whose sum is σ = 862441407360. Its totient is φ = 61040977920.

The previous prime is 253408512703. The next prime is 253408512757. The reversal of 253408512720 is 27215804352.

It is a congruent number.

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, 108786 + ... + 720174.

It is an arithmetic number, because the mean of its divisors is an integer number (5390258796).

Almost surely, 2^253408512720 is an apocalyptic number.

253408512720 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 253408512720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431220703680).

253408512720 is an abundant number, since it is smaller than the sum of its proper divisors (609032894640).

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

253408512720 is a wasteful number, since it uses less digits than its factorization.

253408512720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611573 (or 611567 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 253408512720 in words is "two hundred fifty-three billion, four hundred eight million, five hundred twelve thousand, seven hundred twenty".