10505600496 has 30 divisors (see below), whose sum is σ = 29401090680. Its totient is φ = 3501866784.

The previous prime is 10505600471. The next prime is 10505600533. The reversal of 10505600496 is 69400650501.

10505600496 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 600 + 49 + 6 = 666.

It is a super-2 number, since 2×10505600496² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10505600496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36477636 + ... + 36477923.

It is an arithmetic number, because the mean of its divisors is an integer number (980036356).

Almost surely, 2^10505600496 is an apocalyptic number.

10505600496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10505600496 is an abundant number, since it is smaller than the sum of its proper divisors (18895490184).

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

10505600496 is a wasteful number, since it uses less digits than its factorization.

10505600496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72955573 (or 72955564 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10505600496 in words is "ten billion, five hundred five million, six hundred thousand, four hundred ninety-six".