10862746272 has 192 divisors, whose sum is σ = 38115302400. Its totient is φ = 2940261120.

The previous prime is 10862746229. The next prime is 10862746289. The reversal of 10862746272 is 27264726801.

It is a happy number.

10862746272 is a `hidden beast` number, since 10 + 8 + 6 + 2 + 7 + 4 + 627 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67647 + ... + 162177.

It is an arithmetic number, because the mean of its divisors is an integer number (198517200).

Almost surely, 2^10862746272 is an apocalyptic number.

10862746272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10862746272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19057651200).

10862746272 is an abundant number, since it is smaller than the sum of its proper divisors (27252556128).

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

10862746272 is a wasteful number, since it uses less digits than its factorization.

10862746272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94576 (or 94562 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10862746272 in words is "ten billion, eight hundred sixty-two million, seven hundred forty-six thousand, two hundred seventy-two".