10310479200 has 1152 divisors, whose sum is σ = 46547020800. Its totient is φ = 2149908480.

The previous prime is 10310479199. The next prime is 10310479213. The reversal of 10310479200 is 297401301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106293552 + ... + 106293648.

It is an arithmetic number, because the mean of its divisors is an integer number (40405400).

Almost surely, 2^10310479200 is an apocalyptic number.

10310479200 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 10310479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23273510400).

10310479200 is an abundant number, since it is smaller than the sum of its proper divisors (36236541600).

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

10310479200 is a wasteful number, since it uses less digits than its factorization.

10310479200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10310479200 in words is "ten billion, three hundred ten million, four hundred seventy-nine thousand, two hundred".