10505272896 has 84 divisors (see below), whose sum is σ = 30811807312. Its totient is φ = 3420313344.

The previous prime is 10505272891. The next prime is 10505272909. The reversal of 10505272896 is 69827250501.

10505272896 is a `hidden beast` number, since 10 + 5 + 0 + 527 + 28 + 96 = 666.

It is a super-2 number, since 2×10505272896² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505272891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187306 + ... + 236841.

Almost surely, 2^10505272896 is an apocalyptic number.

10505272896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10505272896 is an abundant number, since it is smaller than the sum of its proper divisors (20306534416).

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

10505272896 is a wasteful number, since it uses less digits than its factorization.

10505272896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424208 (or 424195 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10505272896 in words is "ten billion, five hundred five million, two hundred seventy-two thousand, eight hundred ninety-six".