253115739360 has 288 divisors, whose sum is σ = 945096882912. Its totient is φ = 61178019840.

The previous prime is 253115739341. The next prime is 253115739413. The reversal of 253115739360 is 63937511352.

253115739360 is a `hidden beast` number, since 2 + 5 + 3 + 11 + 573 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5314372 + ... + 5361788.

It is an arithmetic number, because the mean of its divisors is an integer number (3281586399).

Almost surely, 2^253115739360 is an apocalyptic number.

253115739360 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 253115739360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472548441456).

253115739360 is an abundant number, since it is smaller than the sum of its proper divisors (691981143552).

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

253115739360 is a wasteful number, since it uses less digits than its factorization.

253115739360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47786 (or 47775 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 253115739360 in words is "two hundred fifty-three billion, one hundred fifteen million, seven hundred thirty-nine thousand, three hundred sixty".