251481026160 has 480 divisors, whose sum is σ = 1085151170880. Its totient is φ = 53059442688.

The previous prime is 251481026149. The next prime is 251481026207. The reversal of 251481026160 is 61620184152.

It is a happy number.

251481026160 is a `hidden beast` number, since 2 + 514 + 81 + 0 + 2 + 6 + 1 + 60 = 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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284534 + ... + 1467306.

It is an arithmetic number, because the mean of its divisors is an integer number (2260731606).

Almost surely, 2^251481026160 is an apocalyptic number.

251481026160 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 251481026160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542575585440).

251481026160 is an abundant number, since it is smaller than the sum of its proper divisors (833670144720).

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

251481026160 is a wasteful number, since it uses less digits than its factorization.

251481026160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182822 (or 182803 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 251481026160 in words is "two hundred fifty-one billion, four hundred eighty-one million, twenty-six thousand, one hundred sixty".