254679552000 has 1248 divisors, whose sum is σ = 1004654327040. Its totient is φ = 64231833600.

The previous prime is 254679551999. The next prime is 254679552013. The reversal of 254679552000 is 255976452.

254679552000 is a `hidden beast` number, since 2 + 54 + 6 + 79 + 5 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2861567956 + ... + 2861568044.

It is an arithmetic number, because the mean of its divisors is an integer number (805011480).

Almost surely, 2^254679552000 is an apocalyptic number.

254679552000 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 254679552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502327163520).

254679552000 is an abundant number, since it is smaller than the sum of its proper divisors (749974775040).

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

254679552000 is an frugal number, since it uses more digits than its factorization.

254679552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 254679552000 in words is "two hundred fifty-four billion, six hundred seventy-nine million, five hundred fifty-two thousand".