253187366400 has 540 divisors, whose sum is σ = 936668571696. Its totient is φ = 65310105600.

The previous prime is 253187366387. The next prime is 253187366407. The reversal of 253187366400 is 4663781352.

253187366400 is a `hidden beast` number, since 2 + 5 + 3 + 187 + 3 + 66 + 400 = 666.

253187366400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253187366407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 110706057 + ... + 110708343.

Almost surely, 2^253187366400 is an apocalyptic number.

253187366400 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 253187366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468334285848).

253187366400 is an abundant number, since it is smaller than the sum of its proper divisors (683481205296).

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

253187366400 is a wasteful number, since it uses less digits than its factorization.

253187366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 253187366400 in words is "two hundred fifty-three billion, one hundred eighty-seven million, three hundred sixty-six thousand, four hundred".