253537989120 has 1440 divisors, whose sum is σ = 1049441112720. Its totient is φ = 56151244800.

The previous prime is 253537989101. The next prime is 253537989169. The reversal of 253537989120 is 21989735352.

253537989120 is a `hidden beast` number, since 2 + 5 + 3 + 537 + 9 + 89 + 1 + 20 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 27312189696 + 226225799424 = 165264^2 + 475632^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2510277070 + ... + 2510277170.

Almost surely, 2^253537989120 is an apocalyptic number.

253537989120 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 253537989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524720556360).

253537989120 is an abundant number, since it is smaller than the sum of its proper divisors (795903123600).

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

253537989120 is a wasteful number, since it uses less digits than its factorization.

253537989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 253537989120 in words is "two hundred fifty-three billion, five hundred thirty-seven million, nine hundred eighty-nine thousand, one hundred twenty".