253830033720 has 192 divisors, whose sum is σ = 875398043520. Its totient is φ = 66113760384.

The previous prime is 253830033703. The next prime is 253830033733. The reversal of 253830033720 is 27330038352.

253830033720 is a `hidden beast` number, since 253 + 8 + 30 + 0 + 3 + 372 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114307 + ... + 721613.

It is an arithmetic number, because the mean of its divisors is an integer number (4559364810).

Almost surely, 2^253830033720 is an apocalyptic number.

253830033720 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 253830033720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437699021760).

253830033720 is an abundant number, since it is smaller than the sum of its proper divisors (621568009800).

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

253830033720 is a wasteful number, since it uses less digits than its factorization.

253830033720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607376 (or 607360 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 253830033720 in words is "two hundred fifty-three billion, eight hundred thirty million, thirty-three thousand, seven hundred twenty".