251297248500480 has 2304 divisors, whose sum is σ = 1048504891392000. Its totient is φ = 50924802539520.

The previous prime is 251297248500457. The next prime is 251297248500497. The reversal of 251297248500480 is 84005842792152.

It is a self number, because there is not a number n which added to its sum of digits gives 251297248500480.

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 255 ways as a sum of consecutive naturals, for example, 50049240370 + ... + 50049245390.

It is an arithmetic number, because the mean of its divisors is an integer number (455080248000).

Almost surely, 2^{251297248500480} is an apocalyptic number.

251297248500480 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 251297248500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524252445696000).

251297248500480 is an abundant number, since it is smaller than the sum of its proper divisors (797207642891520).

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

251297248500480 is a wasteful number, since it uses less digits than its factorization.

251297248500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5167 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 251297248500480 in words is "two hundred fifty-one trillion, two hundred ninety-seven billion, two hundred forty-eight million, five hundred thousand, four hundred eighty".