251953204980 has 96 divisors (see below), whose sum is σ = 722087460864. Its totient is φ = 65605728384.

The previous prime is 251953204973. The next prime is 251953205003. The reversal of 251953204980 is 89402359152.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10160557 + ... + 10185323.

It is an arithmetic number, because the mean of its divisors is an integer number (7521744384).

Almost surely, 2^251953204980 is an apocalyptic number.

251953204980 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 251953204980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361043730432).

251953204980 is an abundant number, since it is smaller than the sum of its proper divisors (470134255884).

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

251953204980 is a wasteful number, since it uses less digits than its factorization.

251953204980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28765 (or 28763 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 251953204980 in words is "two hundred fifty-one billion, nine hundred fifty-three million, two hundred four thousand, nine hundred eighty".