10640084112 has 240 divisors, whose sum is σ = 34847055360. Its totient is φ = 2967763968.

The previous prime is 10640084107. The next prime is 10640084153. The reversal of 10640084112 is 21148004601.

It is a happy number.

10640084112 is a `hidden beast` number, since 1 + 0 + 640 + 0 + 8 + 4 + 1 + 12 = 666.

It is a super-2 number, since 2×10640084112² (a number of 21 digits) contains 22 as substring.

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, 14798089 + ... + 14798807.

It is an arithmetic number, because the mean of its divisors is an integer number (145196064).

Almost surely, 2^10640084112 is an apocalyptic number.

10640084112 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 10640084112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17423527680).

10640084112 is an abundant number, since it is smaller than the sum of its proper divisors (24206971248).

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

10640084112 is a wasteful number, since it uses less digits than its factorization.

10640084112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10640084112 its reverse (21148004601), we get a palindrome (31788088713).

The spelling of 10640084112 in words is "ten billion, six hundred forty million, eighty-four thousand, one hundred twelve".