253868882400 has 864 divisors, whose sum is σ = 1076803580160. Its totient is φ = 57552768000.

The previous prime is 253868882363. The next prime is 253868882411. The reversal of 253868882400 is 4288868352.

253868882400 is a `hidden beast` number, since 2 + 5 + 3 + 86 + 88 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 138649485 + ... + 138651315.

It is an arithmetic number, because the mean of its divisors is an integer number (1246300440).

Almost surely, 2^253868882400 is an apocalyptic number.

253868882400 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 253868882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538401790080).

253868882400 is an abundant number, since it is smaller than the sum of its proper divisors (822934697760).

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

253868882400 is a wasteful number, since it uses less digits than its factorization.

253868882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 253868882400 in words is "two hundred fifty-three billion, eight hundred sixty-eight million, eight hundred eighty-two thousand, four hundred".