10251661200 has 240 divisors, whose sum is σ = 37383607296. Its totient is φ = 2377126400.

The previous prime is 10251661187. The next prime is 10251661237. The reversal of 10251661200 is 216615201.

10251661200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286717 + ... + 320483.

Almost surely, 2^10251661200 is an apocalyptic number.

10251661200 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 10251661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18691803648).

10251661200 is an abundant number, since it is smaller than the sum of its proper divisors (27131946096).

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

10251661200 is a wasteful number, since it uses less digits than its factorization.

10251661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33822 (or 33811 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 10251661200 in words is "ten billion, two hundred fifty-one million, six hundred sixty-one thousand, two hundred".