10802782672 has 80 divisors (see below), whose sum is σ = 23422215168. Its totient is φ = 4784250240.

The previous prime is 10802782517. The next prime is 10802782673. The reversal of 10802782672 is 27628720801.

It is a super-2 number, since 2×10802782672² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10802782673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3502443 + ... + 3505525.

Almost surely, 2^10802782672 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 10802782672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711107584).

10802782672 is an abundant number, since it is smaller than the sum of its proper divisors (12619432496).

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

10802782672 is a wasteful number, since it uses less digits than its factorization.

10802782672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 10802782672 in words is "ten billion, eight hundred two million, seven hundred eighty-two thousand, six hundred seventy-two".