253539720000 has 1050 divisors, whose sum is σ = 1093180196922. Its totient is φ = 57915648000.

The previous prime is 253539719989. The next prime is 253539720053. The reversal of 253539720000 is 27935352.

253539720000 is a `hidden beast` number, since 2 + 53 + 539 + 72 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 139852065024 + 113687654976 = 373968^2 + 337176^2 .

It is a tau number, because it is divible by the number of its divisors (1050).

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 149 ways as a sum of consecutive naturals, for example, 158759202 + ... + 158760798.

Almost surely, 2^253539720000 is an apocalyptic number.

253539720000 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 253539720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546590098461).

253539720000 is an abundant number, since it is smaller than the sum of its proper divisors (839640476922).

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

253539720000 is an equidigital number, since it uses as much as digits as its factorization.

253539720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 253539720000 in words is "two hundred fifty-three billion, five hundred thirty-nine million, seven hundred twenty thousand".