253158347487360 has 512 divisors, whose sum is σ = 954743500800000. Its totient is φ = 55857787011072.

The previous prime is 253158347487323. The next prime is 253158347487379. The reversal of 253158347487360 is 63784743851352.

It is a happy number.

253158347487360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253158347487291 and 253158347487300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43367641 + ... + 48857639.

It is an arithmetic number, because the mean of its divisors is an integer number (1864733400000).

Almost surely, 2^{253158347487360} is an apocalyptic number.

253158347487360 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 253158347487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477371750400000).

253158347487360 is an abundant number, since it is smaller than the sum of its proper divisors (701585153312640).

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

253158347487360 is a wasteful number, since it uses less digits than its factorization.

253158347487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490148 (or 5490136 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 66.

The spelling of 253158347487360 in words is "two hundred fifty-three trillion, one hundred fifty-eight billion, three hundred forty-seven million, four hundred eighty-seven thousand, three hundred sixty".