10022013792 has 192 divisors, whose sum is σ = 34118461440. Its totient is φ = 2802428928.

The previous prime is 10022013779. The next prime is 10022013803. The reversal of 10022013792 is 29731022001.

10022013792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266628 + ... + 301884.

It is an arithmetic number, because the mean of its divisors is an integer number (177700320).

Almost surely, 2^10022013792 is an apocalyptic number.

10022013792 is a gapful number since it is divisible by the number (12) 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 10022013792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17059230720).

10022013792 is an abundant number, since it is smaller than the sum of its proper divisors (24096447648).

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

10022013792 is a wasteful number, since it uses less digits than its factorization.

10022013792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35330 (or 35316 counting only the distinct ones).

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

Adding to 10022013792 its reverse (29731022001), we get a palindrome (39753035793).

The spelling of 10022013792 in words is "ten billion, twenty-two million, thirteen thousand, seven hundred ninety-two".