251122260480 has 1280 divisors, whose sum is σ = 1041149362176. Its totient is φ = 50217615360.

The previous prime is 251122260469. The next prime is 251122260481. The reversal of 251122260480 is 84062221152.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (251122260481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1451573674 + ... + 1451573846.

Almost surely, 2^251122260480 is an apocalyptic number.

251122260480 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 251122260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520574681088).

251122260480 is an abundant number, since it is smaller than the sum of its proper divisors (790027101696).

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

251122260480 is a wasteful number, since it uses less digits than its factorization.

251122260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 251122260480 in words is "two hundred fifty-one billion, one hundred twenty-two million, two hundred sixty thousand, four hundred eighty".