251982778320 has 1440 divisors, whose sum is σ = 1126247915520. Its totient is φ = 49955512320.

The previous prime is 251982778303. The next prime is 251982778331. The reversal of 251982778320 is 23877289152.

251982778320 is a `hidden beast` number, since 2 + 519 + 8 + 27 + 7 + 83 + 20 = 666.

251982778320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 526059841 + ... + 526060319.

It is an arithmetic number, because the mean of its divisors is an integer number (782116608).

Almost surely, 2^251982778320 is an apocalyptic number.

251982778320 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 251982778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563123957760).

251982778320 is an abundant number, since it is smaller than the sum of its proper divisors (874265137200).

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

251982778320 is a wasteful number, since it uses less digits than its factorization.

251982778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 251982778320 in words is "two hundred fifty-one billion, nine hundred eighty-two million, seven hundred seventy-eight thousand, three hundred twenty".