253145088000 has 1280 divisors, whose sum is σ = 1088594020800. Its totient is φ = 57330892800.

The previous prime is 253145087989. The next prime is 253145088019. The reversal of 253145088000 is 880541352.

It is a happy number.

253145088000 is a `hidden beast` number, since 2 + 531 + 45 + 0 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2322431946 + ... + 2322432054.

Almost surely, 2^253145088000 is an apocalyptic number.

253145088000 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 253145088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544297010400).

253145088000 is an abundant number, since it is smaller than the sum of its proper divisors (835448932800).

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

253145088000 is an frugal number, since it uses more digits than its factorization.

253145088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 253145088000 in words is "two hundred fifty-three billion, one hundred forty-five million, eighty-eight thousand".