253381875148800 has 288 divisors, whose sum is σ = 930716502206400. Its totient is φ = 67568499671040.

The previous prime is 253381875148783. The next prime is 253381875148811. The reversal of 253381875148800 is 8841578183352.

253381875148800 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 81 + 8 + 75 + 1 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 90263244 + ... + 93028043.

It is an arithmetic number, because the mean of its divisors is an integer number (3231654521550).

Almost surely, 2^{253381875148800} is an apocalyptic number.

253381875148800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253381875148800 is an abundant number, since it is smaller than the sum of its proper divisors (677334627057600).

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

253381875148800 is a wasteful number, since it uses less digits than its factorization.

253381875148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183291328 (or 183291297 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 253381875148800 in words is "two hundred fifty-three trillion, three hundred eighty-one billion, eight hundred seventy-five million, one hundred forty-eight thousand, eight hundred".