253624320000 has 630 divisors, whose sum is σ = 936864460532. Its totient is φ = 66060288000.

The previous prime is 253624319951. The next prime is 253624320023. The reversal of 253624320000 is 23426352.

253624320000 is a `hidden beast` number, since 2 + 5 + 3 + 624 + 32 + 0 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5898239979 + ... + 5898240021.

Almost surely, 2^253624320000 is an apocalyptic number.

253624320000 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 253624320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468432230266).

253624320000 is an abundant number, since it is smaller than the sum of its proper divisors (683240140532).

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

253624320000 is an frugal number, since it uses more digits than its factorization.

253624320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 253624320000 its reverse (23426352), we get a palindrome (253647746352).

The spelling of 253624320000 in words is "two hundred fifty-three billion, six hundred twenty-four million, three hundred twenty thousand".