10865089872 has 720 divisors, whose sum is σ = 40845010752. Its totient is φ = 2769500160.

The previous prime is 10865089867. The next prime is 10865089877. The reversal of 10865089872 is 27898056801.

It is an interprime number because it is at equal distance from previous prime (10865089867) and next prime (10865089877).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10865089877) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101542843 + ... + 101542949.

Almost surely, 2^10865089872 is an apocalyptic number.

10865089872 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 10865089872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20422505376).

10865089872 is an abundant number, since it is smaller than the sum of its proper divisors (29979920880).

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

10865089872 is a wasteful number, since it uses less digits than its factorization.

10865089872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 10865089872 in words is "ten billion, eight hundred sixty-five million, eighty-nine thousand, eight hundred seventy-two".