253868446800 has 180 divisors, whose sum is σ = 927362386080. Its totient is φ = 64135169280.

The previous prime is 253868446789. The next prime is 253868446807. The reversal of 253868446800 is 8644868352.

253868446800 is a `hidden beast` number, since 2 + 538 + 6 + 8 + 44 + 68 + 0 + 0 = 666.

253868446800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253868446807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1787364 + ... + 1924163.

It is an arithmetic number, because the mean of its divisors is an integer number (5152013256).

Almost surely, 2^253868446800 is an apocalyptic number.

253868446800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253868446800 is an abundant number, since it is smaller than the sum of its proper divisors (673493939280).

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

253868446800 is a wasteful number, since it uses less digits than its factorization.

253868446800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711570 (or 3711556 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 253868446800 in words is "two hundred fifty-three billion, eight hundred sixty-eight million, four hundred forty-six thousand, eight hundred".