251191342080 has 1320 divisors, whose sum is σ = 1073431865088. Its totient is φ = 55979900928.

The previous prime is 251191342063. The next prime is 251191342111. The reversal of 251191342080 is 80243191152.

251191342080 is a `hidden beast` number, since 2 + 51 + 191 + 342 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 955100029 + ... + 955100291.

Almost surely, 2^251191342080 is an apocalyptic number.

251191342080 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 251191342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536715932544).

251191342080 is an abundant number, since it is smaller than the sum of its proper divisors (822240523008).

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

251191342080 is a wasteful number, since it uses less digits than its factorization.

251191342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 251191342080 in words is "two hundred fifty-one billion, one hundred ninety-one million, three hundred forty-two thousand, eighty".