10725216320 has 336 divisors, whose sum is σ = 32747516928. Its totient is φ = 3254722560.

The previous prime is 10725216301. The next prime is 10725216329. The reversal of 10725216320 is 2361252701.

It is a happy number.

It is a super-2 number, since 2×10725216320² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10725216329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98396426 + ... + 98396534.

It is an arithmetic number, because the mean of its divisors is an integer number (97462848).

Almost surely, 2^10725216320 is an apocalyptic number.

10725216320 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 10725216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373758464).

10725216320 is an abundant number, since it is smaller than the sum of its proper divisors (22022300608).

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

10725216320 is a wasteful number, since it uses less digits than its factorization.

10725216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 10725216320 in words is "ten billion, seven hundred twenty-five million, two hundred sixteen thousand, three hundred twenty".