253095050880 has 576 divisors, whose sum is σ = 1049489326080. Its totient is φ = 55982223360.

The previous prime is 253095050851. The next prime is 253095050899. The reversal of 253095050880 is 88050590352.

253095050880 is a `hidden beast` number, since 2 + 53 + 0 + 95 + 0 + 508 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8734977 + ... + 8763903.

It is an arithmetic number, because the mean of its divisors is an integer number (1822030080).

Almost surely, 2^253095050880 is an apocalyptic number.

253095050880 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 253095050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524744663040).

253095050880 is an abundant number, since it is smaller than the sum of its proper divisors (796394275200).

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

253095050880 is a wasteful number, since it uses less digits than its factorization.

253095050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28997 (or 28975 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 253095050880 in words is "two hundred fifty-three billion, ninety-five million, fifty thousand, eight hundred eighty".