253959552000 has 1584 divisors, whose sum is σ = 1164195059040. Its totient is φ = 52641792000.

The previous prime is 253959551959. The next prime is 253959552001. The reversal of 253959552000 is 255959352.

253959552000 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 595 + 52 + 0 + 0 + 0 = 666.

253959552000 is digitally balanced in base 3, 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 (1584).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253959552001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 620927796 + ... + 620928204.

Almost surely, 2^253959552000 is an apocalyptic number.

253959552000 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 253959552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582097529520).

253959552000 is an abundant number, since it is smaller than the sum of its proper divisors (910235507040).

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

253959552000 is a wasteful number, since it uses less digits than its factorization.

253959552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

The spelling of 253959552000 in words is "two hundred fifty-three billion, nine hundred fifty-nine million, five hundred fifty-two thousand".