251149946880 has 312 divisors, whose sum is σ = 934789946112. Its totient is φ = 57405014016.

The previous prime is 251149946851. The next prime is 251149946903. The reversal of 251149946880 is 88649941152.

It is a self number, because there is not a number n which added to its sum of digits gives 251149946880.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2968849 + ... + 3052271.

Almost surely, 2^251149946880 is an apocalyptic number.

251149946880 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 251149946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467394973056).

251149946880 is an abundant number, since it is smaller than the sum of its proper divisors (683639999232).

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

251149946880 is an equidigital number, since it uses as much as digits as its factorization.

251149946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83469 (or 83440 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 251149946880 in words is "two hundred fifty-one billion, one hundred forty-nine million, nine hundred forty-six thousand, eight hundred eighty".