10314720000 has 1080 divisors, whose sum is σ = 43580737200. Its totient is φ = 2322432000.

The previous prime is 10314719963. The next prime is 10314720049. The reversal of 10314720000 is 2741301.

10314720000 = 5245² + 5246² + ... + 5595².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 355679986 + ... + 355680014.

Almost surely, 2^10314720000 is an apocalyptic number.

10314720000 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 10314720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21790368600).

10314720000 is an abundant number, since it is smaller than the sum of its proper divisors (33266017200).

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

10314720000 is a wasteful number, since it uses less digits than its factorization.

10314720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The spelling of 10314720000 in words is "ten billion, three hundred fourteen million, seven hundred twenty thousand".