253139589734400 has 504 divisors, whose sum is σ = 919168596068580. Its totient is φ = 66579144376320.

The previous prime is 253139589734399. The next prime is 253139589734417. The reversal of 253139589734400 is 4437985931352.

253139589734400 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 3 + 9 + 589 + 7 + 3 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 113660844281856 + 139478745452544 = 10661184^2 + 11810112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133612936 + ... + 135494264.

Almost surely, 2^{253139589734400} is an apocalyptic number.

253139589734400 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 253139589734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459584298034290).

253139589734400 is an abundant number, since it is smaller than the sum of its proper divisors (666029006334180).

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

253139589734400 is a wasteful number, since it uses less digits than its factorization.

253139589734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881444 (or 1881412 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 253139589734400 in words is "two hundred fifty-three trillion, one hundred thirty-nine billion, five hundred eighty-nine million, seven hundred thirty-four thousand, four hundred".