254249132160 has 256 divisors, whose sum is σ = 831037345920. Its totient is φ = 66094694400.

The previous prime is 254249132153. The next prime is 254249132171. The reversal of 254249132160 is 61231942452.

254249132160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×254249132160² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13224955 + ... + 13244165.

Almost surely, 2^254249132160 is an apocalyptic number.

254249132160 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 254249132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415518672960).

254249132160 is an abundant number, since it is smaller than the sum of its proper divisors (576788213760).

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

254249132160 is a wasteful number, since it uses less digits than its factorization.

254249132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19407 (or 19395 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 254249132160 in words is "two hundred fifty-four billion, two hundred forty-nine million, one hundred thirty-two thousand, one hundred sixty".