10650400992 has 960 divisors, whose sum is σ = 42889803264. Its totient is φ = 2508226560.

The previous prime is 10650400931. The next prime is 10650401051. The reversal of 10650400992 is 29900405601.

It is a super-2 number, since 2×10650400992² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 145895868 + ... + 145895940.

Almost surely, 2^10650400992 is an apocalyptic number.

10650400992 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 10650400992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21444901632).

10650400992 is an abundant number, since it is smaller than the sum of its proper divisors (32239402272).

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

10650400992 is a wasteful number, since it uses less digits than its factorization.

10650400992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10650400992 in words is "ten billion, six hundred fifty million, four hundred thousand, nine hundred ninety-two".