12765115440 has 960 divisors, whose sum is σ = 56453529600. Its totient is φ = 2560481280.

The previous prime is 12765115421. The next prime is 12765115453. The reversal of 12765115440 is 4451156721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12765115395 and 12765115404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100512657 + ... + 100512783.

It is an arithmetic number, because the mean of its divisors is an integer number (58805760).

Almost surely, 2^12765115440 is an apocalyptic number.

12765115440 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 12765115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226764800).

12765115440 is an abundant number, since it is smaller than the sum of its proper divisors (43688414160).

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

12765115440 is a wasteful number, since it uses less digits than its factorization.

12765115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12765115440 in words is "twelve billion, seven hundred sixty-five million, one hundred fifteen thousand, four hundred forty".