253765896883200 has 1584 divisors, whose sum is σ = 1042172515544160. Its totient is φ = 60776479457280.

The previous prime is 253765896883157. The next prime is 253765896883211. The reversal of 253765896883200 is 2388698567352.

253765896883200 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 6 + 589 + 6 + 8 + 8 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2992162396 + ... + 2992247204.

Almost surely, 2^{253765896883200} is an apocalyptic number.

253765896883200 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 253765896883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521086257772080).

253765896883200 is an abundant number, since it is smaller than the sum of its proper divisors (788406618660960).

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

253765896883200 is a wasteful number, since it uses less digits than its factorization.

253765896883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84904 (or 84869 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 253765896883200 in words is "two hundred fifty-three trillion, seven hundred sixty-five billion, eight hundred ninety-six million, eight hundred eighty-three thousand, two hundred".