253342857600 has 1728 divisors, whose sum is σ = 1118568250800. Its totient is φ = 56435097600.

The previous prime is 253342857569. The next prime is 253342857611. The reversal of 253342857600 is 6758243352.

253342857600 is a `hidden beast` number, since 2 + 5 + 3 + 34 + 2 + 8 + 5 + 7 + 600 = 666.

253342857600 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 (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 2324246346 + ... + 2324246454.

Almost surely, 2^253342857600 is an apocalyptic number.

253342857600 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 253342857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559284125400).

253342857600 is an abundant number, since it is smaller than the sum of its proper divisors (865225393200).

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

253342857600 is a wasteful number, since it uses less digits than its factorization.

253342857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 253342857600 in words is "two hundred fifty-three billion, three hundred forty-two million, eight hundred fifty-seven thousand, six hundred".