10005610992 has 160 divisors (see below), whose sum is σ = 28176696576. Its totient is φ = 3041280000.

The previous prime is 10005610987. The next prime is 10005610997. The reversal of 10005610992 is 29901650001.

It is an interprime number because it is at equal distance from previous prime (10005610987) and next prime (10005610997).

It is a super-2 number, since 2×10005610992² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005610997) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30228267 + ... + 30228597.

Almost surely, 2^10005610992 is an apocalyptic number.

10005610992 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 10005610992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14088348288).

10005610992 is an abundant number, since it is smaller than the sum of its proper divisors (18171085584).

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

10005610992 is a wasteful number, since it uses less digits than its factorization.

10005610992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The spelling of 10005610992 in words is "ten billion, five million, six hundred ten thousand, nine hundred ninety-two".