10505977344 has 400 divisors, whose sum is σ = 33668976000. Its totient is φ = 3251736576.

The previous prime is 10505977327. The next prime is 10505977379. The reversal of 10505977344 is 44377950501.

10505977344 is a `hidden beast` number, since 1 + 0 + 50 + 597 + 7 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×10505977344² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10505977344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52793757 + ... + 52793955.

It is an arithmetic number, because the mean of its divisors is an integer number (84172440).

Almost surely, 2^10505977344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10505977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834488000).

10505977344 is an abundant number, since it is smaller than the sum of its proper divisors (23162998656).

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

10505977344 is an equidigital number, since it uses as much as digits as its factorization.

10505977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 10505977344 in words is "ten billion, five hundred five million, nine hundred seventy-seven thousand, three hundred forty-four".