253414525124200 has 384 divisors, whose sum is σ = 680412284576640. Its totient is φ = 86942822400000.

The previous prime is 253414525124161. The next prime is 253414525124317. The reversal of 253414525124200 is 2421525414352.

253414525124200 is digitally balanced in base 2, 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391415152 + ... + 392062048.

It is an arithmetic number, because the mean of its divisors is an integer number (1771906991085).

Almost surely, 2^{253414525124200} is an apocalyptic number.

253414525124200 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 253414525124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340206142288320).

253414525124200 is an abundant number, since it is smaller than the sum of its proper divisors (426997759452440).

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

253414525124200 is a wasteful number, since it uses less digits than its factorization.

253414525124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647109 (or 647100 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 253414525124200 in words is "two hundred fifty-three trillion, four hundred fourteen billion, five hundred twenty-five million, one hundred twenty-four thousand, two hundred".