10956516640650 has 576 divisors, whose sum is σ = 34443087334656. Its totient is φ = 2445520896000.

The previous prime is 10956516640649. The next prime is 10956516640669. The reversal of 10956516640650 is 5604661565901.

10956516640650 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 6 + 516 + 64 + 0 + 65 + 0 = 666.

It is a super-2 number, since 2×10956516640650² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11693186982 + ... + 11693187918.

Almost surely, 2^{10956516640650} is an apocalyptic number.

10956516640650 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 10956516640650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221543667328).

10956516640650 is an abundant number, since it is smaller than the sum of its proper divisors (23486570694006).

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

10956516640650 is a wasteful number, since it uses less digits than its factorization.

10956516640650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 10956516640650 in words is "ten trillion, nine hundred fifty-six billion, five hundred sixteen million, six hundred forty thousand, six hundred fifty".