254975324160 has 416 divisors, whose sum is σ = 872724445632. Its totient is φ = 63333990400.

The previous prime is 254975324141. The next prime is 254975324173. The reversal of 254975324160 is 61423579452.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105491272 + ... + 105493688.

It is an arithmetic number, because the mean of its divisors is an integer number (2097895302).

Almost surely, 2^254975324160 is an apocalyptic number.

254975324160 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 254975324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436362222816).

254975324160 is an abundant number, since it is smaller than the sum of its proper divisors (617749121472).

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

254975324160 is a wasteful number, since it uses less digits than its factorization.

254975324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 254975324160 in words is "two hundred fifty-four billion, nine hundred seventy-five million, three hundred twenty-four thousand, one hundred sixty".