253441612800 has 792 divisors, whose sum is σ = 951282364032. Its totient is φ = 66852864000.

The previous prime is 253441612789. The next prime is 253441612847. The reversal of 253441612800 is 8216144352.

It is a happy number.

253441612800 is a `hidden beast` number, since 2 + 5 + 34 + 4 + 1 + 612 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 814924645 + ... + 814924955.

It is an arithmetic number, because the mean of its divisors is an integer number (1201114096).

Almost surely, 2^253441612800 is an apocalyptic number.

253441612800 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 253441612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475641182016).

253441612800 is an abundant number, since it is smaller than the sum of its proper divisors (697840751232).

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

253441612800 is a wasteful number, since it uses less digits than its factorization.

253441612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 2534416 and 12800, that added together give a square (2547216 = 1596²).

The spelling of 253441612800 in words is "two hundred fifty-three billion, four hundred forty-one million, six hundred twelve thousand, eight hundred".