253016305920 has 1296 divisors, whose sum is σ = 1107963118080. Its totient is φ = 52951449600.

The previous prime is 253016305907. The next prime is 253016305931. The reversal of 253016305920 is 29503610352.

253016305920 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 1 + 63 + 0 + 592 + 0 = 666.

It is a super-2 number, since 2×253016305920² (a number of 24 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 332478340 + ... + 332479100.

Almost surely, 2^253016305920 is an apocalyptic number.

253016305920 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 253016305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553981559040).

253016305920 is an abundant number, since it is smaller than the sum of its proper divisors (854946812160).

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

253016305920 is a wasteful number, since it uses less digits than its factorization.

253016305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 253016305920 in words is "two hundred fifty-three billion, sixteen million, three hundred five thousand, nine hundred twenty".