12765011000 has 128 divisors (see below), whose sum is σ = 36145699200. Its totient is φ = 4119091200.

The previous prime is 12765010967. The next prime is 12765011011. The reversal of 12765011000 is 11056721.

It is a congruent number.

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, 65366 + ... + 172634.

It is an arithmetic number, because the mean of its divisors is an integer number (282388275).

Almost surely, 2^12765011000 is an apocalyptic number.

12765011000 is a gapful number since it is divisible by the number (10) 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 12765011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18072849600).

12765011000 is an abundant number, since it is smaller than the sum of its proper divisors (23380688200).

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

12765011000 is a wasteful number, since it uses less digits than its factorization.

12765011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107314 (or 107300 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

Adding to 12765011000 its reverse (11056721), we get a palindrome (12776067721).

The spelling of 12765011000 in words is "twelve billion, seven hundred sixty-five million, eleven thousand".