254997460800 has 420 divisors, whose sum is σ = 943134995616. Its totient is φ = 67576550400.

The previous prime is 254997460787. The next prime is 254997460813. The reversal of 254997460800 is 8064799452.

254997460800 is a `hidden beast` number, since 2 + 5 + 499 + 74 + 6 + 0 + 80 + 0 = 666.

254997460800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254997460787) and next prime (254997460813).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21118765 + ... + 21130835.

Almost surely, 2^254997460800 is an apocalyptic number.

254997460800 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 254997460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471567497808).

254997460800 is an abundant number, since it is smaller than the sum of its proper divisors (688137534816).

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

254997460800 is a wasteful number, since it uses less digits than its factorization.

254997460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12268 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 254997460800 in words is "two hundred fifty-four billion, nine hundred ninety-seven million, four hundred sixty thousand, eight hundred".