253180457712 has 480 divisors, whose sum is σ = 926190720000. Its totient is φ = 62691729408.

The previous prime is 253180457707. The next prime is 253180457729. The reversal of 253180457712 is 217754081352.

253180457712 is a `hidden beast` number, since 2 + 5 + 3 + 180 + 457 + 7 + 12 = 666.

253180457712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28129789 + ... + 28138787.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564000).

Almost surely, 2^253180457712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253180457712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360000).

253180457712 is an abundant number, since it is smaller than the sum of its proper divisors (673010262288).

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

253180457712 is a wasteful number, since it uses less digits than its factorization.

253180457712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9165 (or 9156 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 253180457712 in words is "two hundred fifty-three billion, one hundred eighty million, four hundred fifty-seven thousand, seven hundred twelve".