254912991840 has 768 divisors, whose sum is σ = 1002069411840. Its totient is φ = 60107857920.

The previous prime is 254912991703. The next prime is 254912991899. The reversal of 254912991840 is 48199219452.

254912991840 is a `hidden beast` number, since 2 + 5 + 491 + 29 + 91 + 8 + 40 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139219725 + ... + 139221555.

It is an arithmetic number, because the mean of its divisors is an integer number (1304777880).

Almost surely, 2^254912991840 is an apocalyptic number.

254912991840 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 254912991840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501034705920).

254912991840 is an abundant number, since it is smaller than the sum of its proper divisors (747156420000).

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

254912991840 is a wasteful number, since it uses less digits than its factorization.

254912991840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 254912991840 in words is "two hundred fifty-four billion, nine hundred twelve million, nine hundred ninety-one thousand, eight hundred forty".