253142203392 has 396 divisors, whose sum is σ = 799472569896. Its totient is φ = 76686704640.

The previous prime is 253142203387. The next prime is 253142203393. The reversal of 253142203392 is 293302241352.

253142203392 is a `hidden beast` number, since 2 + 5 + 314 + 2 + 2 + 0 + 339 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253142203393) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1932383167 + ... + 1932383297.

It is an arithmetic number, because the mean of its divisors is an integer number (2018870126).

Almost surely, 2^253142203392 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 253142203392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399736284948).

253142203392 is an abundant number, since it is smaller than the sum of its proper divisors (546330366504).

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

253142203392 is a wasteful number, since it uses less digits than its factorization.

253142203392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 253142203392 in words is "two hundred fifty-three billion, one hundred forty-two million, two hundred three thousand, three hundred ninety-two".