254325754932480 has 3456 divisors, whose sum is σ = 1178251967692800. Its totient is φ = 49030653542400.

The previous prime is 254325754932467. The next prime is 254325754932517. The reversal of 254325754932480 is 84239457523452.

254325754932480 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 2 + 5 + 7 + 549 + 3 + 2 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 590082957865 + ... + 590082958295.

It is an arithmetic number, because the mean of its divisors is an integer number (340929388800).

Almost surely, 2^{254325754932480} is an apocalyptic number.

254325754932480 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 254325754932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589125983846400).

254325754932480 is an abundant number, since it is smaller than the sum of its proper divisors (923926212760320).

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

254325754932480 is a wasteful number, since it uses less digits than its factorization.

254325754932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 63.

The spelling of 254325754932480 in words is "two hundred fifty-four trillion, three hundred twenty-five billion, seven hundred fifty-four million, nine hundred thirty-two thousand, four hundred eighty".