251141160960 has 864 divisors, whose sum is σ = 961834124160. Its totient is φ = 62681776128.

The previous prime is 251141160943. The next prime is 251141160961. The reversal of 251141160960 is 69061141152.

251141160960 is a `hidden beast` number, since 2 + 5 + 1 + 1 + 41 + 1 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251141160961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3025797079 + ... + 3025797161.

It is an arithmetic number, because the mean of its divisors is an integer number (1113233940).

Almost surely, 2^251141160960 is an apocalyptic number.

251141160960 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 251141160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480917062080).

251141160960 is an abundant number, since it is smaller than the sum of its proper divisors (710692963200).

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

251141160960 is an frugal number, since it uses more digits than its factorization.

251141160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 251141160960 in words is "two hundred fifty-one billion, one hundred forty-one million, one hundred sixty thousand, nine hundred sixty".