10251887360 has 144 divisors (see below), whose sum is σ = 28850078880. Its totient is φ = 3441131520.

The previous prime is 10251887351. The next prime is 10251887381. The reversal of 10251887360 is 6378815201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155036 + ... + 211044.

It is an arithmetic number, because the mean of its divisors is an integer number (200347770).

Almost surely, 2^10251887360 is an apocalyptic number.

10251887360 is a gapful number since it is divisible by the number (10) 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 10251887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14425039440).

10251887360 is an abundant number, since it is smaller than the sum of its proper divisors (18598191520).

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

10251887360 is a wasteful number, since it uses less digits than its factorization.

10251887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56054 (or 56040 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 10251887360 in words is "ten billion, two hundred fifty-one million, eight hundred eighty-seven thousand, three hundred sixty".