253424394432 has 168 divisors, whose sum is σ = 792757368000. Its totient is φ = 76763665920.

The previous prime is 253424394407. The next prime is 253424394463. The reversal of 253424394432 is 234493424352.

253424394432 is a `hidden beast` number, since 2 + 53 + 42 + 43 + 94 + 432 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18766819 + ... + 18780317.

Almost surely, 2^253424394432 is an apocalyptic number.

253424394432 is a gapful number since it is divisible by the number (22) 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 253424394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396378684000).

253424394432 is an abundant number, since it is smaller than the sum of its proper divisors (539332973568).

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

253424394432 is a wasteful number, since it uses less digits than its factorization.

253424394432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16491 (or 16478 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The spelling of 253424394432 in words is "two hundred fifty-three billion, four hundred twenty-four million, three hundred ninety-four thousand, four hundred thirty-two".