252753774134400 has 6912 divisors, whose sum is σ = 1252061662924800. Its totient is φ = 47341780992000.

The previous prime is 252753774134293. The next prime is 252753774134401. The reversal of 252753774134400 is 4431477357252.

252753774134400 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 5 + 37 + 74 + 134 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (252753774134401) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 893122876659 + ... + 893122876941.

It is an arithmetic number, because the mean of its divisors is an integer number (181143180400).

Almost surely, 2^{252753774134400} is an apocalyptic number.

252753774134400 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 252753774134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626030831462400).

252753774134400 is an abundant number, since it is smaller than the sum of its proper divisors (999307888790400).

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

252753774134400 is a wasteful number, since it uses less digits than its factorization.

252753774134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 252753774134400 in words is "two hundred fifty-two trillion, seven hundred fifty-three billion, seven hundred seventy-four million, one hundred thirty-four thousand, four hundred".