10650440835090 has 384 divisors, whose sum is σ = 33482409143040. Its totient is φ = 2431735447680.

The previous prime is 10650440835061. The next prime is 10650440835113. The reversal of 10650440835090 is 9053804405601.

10650440835090 is a `hidden beast` number, since 1 + 0 + 6 + 504 + 4 + 0 + 8 + 3 + 50 + 90 = 666.

It is a super-2 number, since 2×10650440835090² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1085556285 + ... + 1085566095.

It is an arithmetic number, because the mean of its divisors is an integer number (87193773810).

Almost surely, 2^{10650440835090} is an apocalyptic number.

10650440835090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10650440835090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16741204571520).

10650440835090 is an abundant number, since it is smaller than the sum of its proper divisors (22831968307950).

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

10650440835090 is an equidigital number, since it uses as much as digits as its factorization.

10650440835090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10866 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10650440835090 in words is "ten trillion, six hundred fifty billion, four hundred forty million, eight hundred thirty-five thousand, ninety".