253898870860800 has 1584 divisors, whose sum is σ = 1025332235965440. Its totient is φ = 59471511552000.

The previous prime is 253898870860793. The next prime is 253898870860801. The reversal of 253898870860800 is 8068078898352.

253898870860800 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 9 + 8 + 8 + 7 + 0 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is not an unprimeable number, because it can be changed into a prime (253898870860801) 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 143 ways as a sum of consecutive naturals, for example, 58060567414 + ... + 58060571786.

Almost surely, 2^{253898870860800} is an apocalyptic number.

253898870860800 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 253898870860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512666117982720).

253898870860800 is an abundant number, since it is smaller than the sum of its proper divisors (771433365104640).

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

253898870860800 is a wasteful number, since it uses less digits than its factorization.

253898870860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 253898870860800 in words is "two hundred fifty-three trillion, eight hundred ninety-eight billion, eight hundred seventy million, eight hundred sixty thousand, eight hundred".