253992630528 has 1440 divisors, whose sum is σ = 988900281600. Its totient is φ = 64377815040.

The previous prime is 253992630449. The next prime is 253992630557. The reversal of 253992630528 is 825036299352.

253992630528 is a `hidden beast` number, since 2 + 5 + 3 + 99 + 26 + 3 + 0 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3790934751 + ... + 3790934817.

Almost surely, 2^253992630528 is an apocalyptic number.

253992630528 is a gapful number since it is divisible by the number (28) 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 253992630528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494450140800).

253992630528 is an abundant number, since it is smaller than the sum of its proper divisors (734907651072).

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

253992630528 is an equidigital number, since it uses as much as digits as its factorization.

253992630528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 253992630528 in words is "two hundred fifty-three billion, nine hundred ninety-two million, six hundred thirty thousand, five hundred twenty-eight".