10573960320 has 768 divisors, whose sum is σ = 47262458880. Its totient is φ = 2194698240.

The previous prime is 10573960297. The next prime is 10573960357. The reversal of 10573960320 is 2306937501.

10573960320 is a `hidden beast` number, since 1 + 0 + 573 + 9 + 60 + 3 + 20 = 666.

It is a super-2 number, since 2×10573960320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 11974599 + ... + 11975481.

It is an arithmetic number, because the mean of its divisors is an integer number (61539660).

Almost surely, 2^10573960320 is an apocalyptic number.

10573960320 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 10573960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631229440).

10573960320 is an abundant number, since it is smaller than the sum of its proper divisors (36688498560).

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

10573960320 is an equidigital number, since it uses as much as digits as its factorization.

10573960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 10573960320 in words is "ten billion, five hundred seventy-three million, nine hundred sixty thousand, three hundred twenty".