10840023072 has 192 divisors, whose sum is σ = 33727155840. Its totient is φ = 3375341568.

The previous prime is 10840023049. The next prime is 10840023079. The reversal of 10840023072 is 27032004801.

It is a super-2 number, since 2×10840023072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10840023079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2009563 + ... + 2014949.

It is an arithmetic number, because the mean of its divisors is an integer number (175662270).

Almost surely, 2^10840023072 is an apocalyptic number.

10840023072 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 10840023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16863577920).

10840023072 is an abundant number, since it is smaller than the sum of its proper divisors (22887132768).

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

10840023072 is a wasteful number, since it uses less digits than its factorization.

10840023072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 10840023072 its reverse (27032004801), we get a palindrome (37872027873).

The spelling of 10840023072 in words is "ten billion, eight hundred forty million, twenty-three thousand, seventy-two".