10251991200 has 432 divisors, whose sum is σ = 37578407328. Its totient is φ = 2424576000.

The previous prime is 10251991187. The next prime is 10251991201. The reversal of 10251991200 is 219915201.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10251991201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12486790 + ... + 12487610.

It is an arithmetic number, because the mean of its divisors is an integer number (86987054).

Almost surely, 2^10251991200 is an apocalyptic number.

10251991200 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 10251991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18789203664).

10251991200 is an abundant number, since it is smaller than the sum of its proper divisors (27326416128).

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

10251991200 is a wasteful number, since it uses less digits than its factorization.

10251991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The spelling of 10251991200 in words is "ten billion, two hundred fifty-one million, nine hundred ninety-one thousand, two hundred".