10392901200 has 540 divisors, whose sum is σ = 41581901088. Its totient is φ = 2383603200.

The previous prime is 10392901171. The next prime is 10392901217. The reversal of 10392901200 is 210929301.

10392901200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10392901200² (a number of 21 digits) contains 22 as substring.

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, 14295237 + ... + 14295963.

Almost surely, 2^10392901200 is an apocalyptic number.

10392901200 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 10392901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790950544).

10392901200 is an abundant number, since it is smaller than the sum of its proper divisors (31188999888).

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

10392901200 is a wasteful number, since it uses less digits than its factorization.

10392901200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 10392901200 in words is "ten billion, three hundred ninety-two million, nine hundred one thousand, two hundred".