253937163916800 has 2880 divisors, whose sum is σ = 1186341158306304. Its totient is φ = 50338647244800.

The previous prime is 253937163916781. The next prime is 253937163916837. The reversal of 253937163916800 is 8619361739352.

253937163916800 is a `hidden beast` number, since 2 + 5 + 393 + 7 + 163 + 9 + 1 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 161640460015 + ... + 161640461585.

Almost surely, 2^{253937163916800} is an apocalyptic number.

253937163916800 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 253937163916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593170579153152).

253937163916800 is an abundant number, since it is smaller than the sum of its proper divisors (932403994389504).

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

253937163916800 is a wasteful number, since it uses less digits than its factorization.

253937163916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 253937163916800 in words is "two hundred fifty-three trillion, nine hundred thirty-seven billion, one hundred sixty-three million, nine hundred sixteen thousand, eight hundred".