10650640540540 has 288 divisors, whose sum is σ = 30494378396160. Its totient is φ = 3033972864000.

The previous prime is 10650640540517. The next prime is 10650640540549. The reversal of 10650640540540 is 4504504605601.

It is a super-2 number, since 2×10650640540540² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10650640540493 and 10650640540502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10650640540549) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26083671 + ... + 26488849.

It is an arithmetic number, because the mean of its divisors is an integer number (105883258320).

Almost surely, 2^{10650640540540} is an apocalyptic number.

10650640540540 is a gapful number since it is divisible by the number (10) 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 10650640540540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247189198080).

10650640540540 is an abundant number, since it is smaller than the sum of its proper divisors (19843737855620).

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

10650640540540 is a wasteful number, since it uses less digits than its factorization.

10650640540540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405333 (or 405318 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 10650640540540 in words is "ten trillion, six hundred fifty billion, six hundred forty million, five hundred forty thousand, five hundred forty".