10322161920 has 432 divisors, whose sum is σ = 42970112640. Its totient is φ = 2234843136.

The previous prime is 10322161879. The next prime is 10322161937. The reversal of 10322161920 is 2916122301.

10322161920 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 21 + 619 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1528792 + ... + 1535528.

Almost surely, 2^10322161920 is an apocalyptic number.

10322161920 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 10322161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21485056320).

10322161920 is an abundant number, since it is smaller than the sum of its proper divisors (32647950720).

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

10322161920 is a wasteful number, since it uses less digits than its factorization.

10322161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10322161920 in words is "ten billion, three hundred twenty-two million, one hundred sixty-one thousand, nine hundred twenty".