253250344454400 has 1620 divisors, whose sum is σ = 993793809531600. Its totient is φ = 63453742571520.

The previous prime is 253250344454369. The next prime is 253250344454417. The reversal of 253250344454400 is 4454443052352.

253250344454400 is a `hidden beast` number, since 2 + 5 + 3 + 250 + 344 + 4 + 54 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 668206713411 + ... + 668206713789.

Almost surely, 2^{253250344454400} is an apocalyptic number.

253250344454400 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 253250344454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496896904765800).

253250344454400 is an abundant number, since it is smaller than the sum of its proper divisors (740543465077200).

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

253250344454400 is an equidigital number, since it uses as much as digits as its factorization.

253250344454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

The spelling of 253250344454400 in words is "two hundred fifty-three trillion, two hundred fifty billion, three hundred forty-four million, four hundred fifty-four thousand, four hundred".