253105423531200 has 210 divisors, whose sum is σ = 930351870426396. Its totient is φ = 67494779573760.

The previous prime is 253105423531127. The next prime is 253105423531201. The reversal of 253105423531200 is 2135324501352.

253105423531200 is a `hidden beast` number, since 2 + 5 + 3 + 105 + 4 + 235 + 312 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (253105423531201) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 976357374 + ... + 976616573.

Almost surely, 2^{253105423531200} is an apocalyptic number.

253105423531200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253105423531200 is an abundant number, since it is smaller than the sum of its proper divisors (677246446895196).

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

253105423531200 is a wasteful number, since it uses less digits than its factorization.

253105423531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952973981 (or 1952973957 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 253105423531200 in words is "two hundred fifty-three trillion, one hundred five billion, four hundred twenty-three million, five hundred thirty-one thousand, two hundred".