10005650822640 has 320 divisors, whose sum is σ = 35010555609600. Its totient is φ = 2341538304000.

The previous prime is 10005650822567. The next prime is 10005650822663. The reversal of 10005650822640 is 4622805650001.

10005650822640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10005650822640² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629238690 + ... + 629254590.

It is an arithmetic number, because the mean of its divisors is an integer number (109407986280).

Almost surely, 2^{10005650822640} is an apocalyptic number.

10005650822640 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 10005650822640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505277804800).

10005650822640 is an abundant number, since it is smaller than the sum of its proper divisors (25004904786960).

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

10005650822640 is a wasteful number, since it uses less digits than its factorization.

10005650822640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24176 (or 24170 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 10005650822640 in words is "ten trillion, five billion, six hundred fifty million, eight hundred twenty-two thousand, six hundred forty".