253475205120 has 936 divisors, whose sum is σ = 959251679568. Its totient is φ = 64178749440.

The previous prime is 253475205101. The next prime is 253475205127. The reversal of 253475205120 is 21502574352.

253475205120 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 7 + 520 + 5 + 120 = 666.

It is a super-2 number, since 2×253475205120² (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 not an unprimeable number, because it can be changed into a prime (253475205127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4782551014 + ... + 4782551066.

It is an arithmetic number, because the mean of its divisors is an integer number (1024841538).

Almost surely, 2^253475205120 is an apocalyptic number.

253475205120 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 253475205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479625839784).

253475205120 is an abundant number, since it is smaller than the sum of its proper divisors (705776474448).

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

253475205120 is an frugal number, since it uses more digits than its factorization.

253475205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 253475205120 its reverse (21502574352), we get a palindrome (274977779472).

The spelling of 253475205120 in words is "two hundred fifty-three billion, four hundred seventy-five million, two hundred five thousand, one hundred twenty".