254982553600 has 204 divisors, whose sum is σ = 665714851840. Its totient is φ = 96613171200.

The previous prime is 254982553583. The next prime is 254982553613. The reversal of 254982553600 is 6355289452.

It is a super-2 number, since 2×254982553600² (a number of 24 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 31125505 + ... + 31133695.

Almost surely, 2^254982553600 is an apocalyptic number.

254982553600 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 254982553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332857425920).

254982553600 is an abundant number, since it is smaller than the sum of its proper divisors (410732298240).

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

254982553600 is an frugal number, since it uses more digits than its factorization.

254982553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8217 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 254982553600 in words is "two hundred fifty-four billion, nine hundred eighty-two million, five hundred fifty-three thousand, six hundred".