251038728072 has 192 divisors, whose sum is σ = 749337039360. Its totient is φ = 75919620480.

The previous prime is 251038728071. The next prime is 251038728077. The reversal of 251038728072 is 270827830152.

It is not an unprimeable number, because it can be changed into a prime (251038728071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53376073 + ... + 53380775.

It is an arithmetic number, because the mean of its divisors is an integer number (3902797080).

Almost surely, 2^251038728072 is an apocalyptic number.

251038728072 is a gapful number since it is divisible by the number (22) 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 251038728072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374668519680).

251038728072 is an abundant number, since it is smaller than the sum of its proper divisors (498298311288).

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

251038728072 is a wasteful number, since it uses less digits than its factorization.

251038728072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 251038728072 in words is "two hundred fifty-one billion, thirty-eight million, seven hundred twenty-eight thousand, seventy-two".