253912490133120 has 3072 divisors, whose sum is σ = 1169495644262400. Its totient is φ = 49246090297344.

The previous prime is 253912490133119. The next prime is 253912490133149. The reversal of 253912490133120 is 21331094219352.

253912490133120 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 1 + 2 + 490 + 1 + 33 + 120 = 666.

It is a super-2 number, since 2×253912490133120² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 85694392759 + ... + 85694395721.

It is an arithmetic number, because the mean of its divisors is an integer number (380695196700).

Almost surely, 2^{253912490133120} is an apocalyptic number.

253912490133120 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 253912490133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584747822131200).

253912490133120 is an abundant number, since it is smaller than the sum of its proper divisors (915583154129280).

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

253912490133120 is a wasteful number, since it uses less digits than its factorization.

253912490133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 253912490133120 in words is "two hundred fifty-three trillion, nine hundred twelve billion, four hundred ninety million, one hundred thirty-three thousand, one hundred twenty".