251866460160 has 936 divisors, whose sum is σ = 1031334707520. Its totient is φ = 56679727104.

The previous prime is 251866460137. The next prime is 251866460161. The reversal of 251866460160 is 61064668152.

251866460160 is a `hidden beast` number, since 2 + 5 + 186 + 6 + 460 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (251866460161) 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 71 ways as a sum of consecutive naturals, for example, 713502544 + ... + 713502896.

It is an arithmetic number, because the mean of its divisors is an integer number (1101853320).

Almost surely, 2^251866460160 is an apocalyptic number.

251866460160 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 251866460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515667353760).

251866460160 is an abundant number, since it is smaller than the sum of its proper divisors (779468247360).

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

251866460160 is a wasteful number, since it uses less digits than its factorization.

251866460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 251866460160 in words is "two hundred fifty-one billion, eight hundred sixty-six million, four hundred sixty thousand, one hundred sixty".