251630680942080 has 720 divisors, whose sum is σ = 958103755841232. Its totient is φ = 60988044902400.

The previous prime is 251630680942079. The next prime is 251630680942141. The reversal of 251630680942080 is 80249086036152.

251630680942080 is a `hidden beast` number, since 2 + 5 + 1 + 63 + 0 + 6 + 80 + 9 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20103107982 + ... + 20103120498.

Almost surely, 2^{251630680942080} is an apocalyptic number.

251630680942080 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 251630680942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479051877920616).

251630680942080 is an abundant number, since it is smaller than the sum of its proper divisors (706473074899152).

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

251630680942080 is a wasteful number, since it uses less digits than its factorization.

251630680942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19779 (or 19749 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 251630680942080 in words is "two hundred fifty-one trillion, six hundred thirty billion, six hundred eighty million, nine hundred forty-two thousand, eighty".