10855972864 has 153 divisors (see below), whose sum is σ = 24527447301. Its totient is φ = 4801167360.

The previous prime is 10855972819. The next prime is 10855972871. The reversal of 10855972864 is 46827955801.

It is a happy number.

The square root of 10855972864 is 104192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9714073600 + 1141899264 = 98560^2 + 33792^2 .

It is a super-4 number, since 4×10855972864⁴ (a number of 41 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 293404654 + ... + 293404690.

Almost surely, 2^10855972864 is an apocalyptic number.

10855972864 is the 104192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10855972864

10855972864 is an abundant number, since it is smaller than the sum of its proper divisors (13671474437).

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

10855972864 is an frugal number, since it uses more digits than its factorization.

10855972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 10855972864 in words is "ten billion, eight hundred fifty-five million, nine hundred seventy-two thousand, eight hundred sixty-four".