253585612800 has 1008 divisors, whose sum is σ = 1031551007760. Its totient is φ = 59029585920.

The previous prime is 253585612789. The next prime is 253585612871. The reversal of 253585612800 is 8216585352.

253585612800 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 8 + 561 + 2 + 80 + 0 = 666.

253585612800 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 455270122 + ... + 455270678.

It is an arithmetic number, because the mean of its divisors is an integer number (1023364095).

Almost surely, 2^253585612800 is an apocalyptic number.

253585612800 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 253585612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515775503880).

253585612800 is an abundant number, since it is smaller than the sum of its proper divisors (777965394960).

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

253585612800 is a wasteful number, since it uses less digits than its factorization.

253585612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 253585612800 in words is "two hundred fifty-three billion, five hundred eighty-five million, six hundred twelve thousand, eight hundred".