10397251200 has 864 divisors, whose sum is σ = 42953366880. Its totient is φ = 2199859200.

The previous prime is 10397251159. The next prime is 10397251243. The reversal of 10397251200 is 215279301.

10397251200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 335395185 + ... + 335395215.

It is an arithmetic number, because the mean of its divisors is an integer number (49714545).

Almost surely, 2^10397251200 is an apocalyptic number.

10397251200 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 10397251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21476683440).

10397251200 is an abundant number, since it is smaller than the sum of its proper divisors (32556115680).

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

10397251200 is a wasteful number, since it uses less digits than its factorization.

10397251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 10397251200 in words is "ten billion, three hundred ninety-seven million, two hundred fifty-one thousand, two hundred".