254387503872 has 864 divisors, whose sum is σ = 843025397760. Its totient is φ = 73380003840.

The previous prime is 254387503831. The next prime is 254387503913. The reversal of 254387503872 is 278305783452.

254387503872 is a `hidden beast` number, since 2 + 54 + 3 + 8 + 7 + 503 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (254387503831) and next prime (254387503913).

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 95 ways as a sum of consecutive naturals, for example, 3796828383 + ... + 3796828449.

It is an arithmetic number, because the mean of its divisors is an integer number (975723840).

Almost surely, 2^254387503872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254387503872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421512698880).

254387503872 is an abundant number, since it is smaller than the sum of its proper divisors (588637893888).

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

254387503872 is a wasteful number, since it uses less digits than its factorization.

254387503872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 254387503872 in words is "two hundred fifty-four billion, three hundred eighty-seven million, five hundred three thousand, eight hundred seventy-two".