12965365350 has 288 divisors, whose sum is σ = 44373588480. Its totient is φ = 2642181120.

The previous prime is 12965365349. The next prime is 12965365363. The reversal of 12965365350 is 5356356921.

12965365350 is a `hidden beast` number, since 1 + 29 + 65 + 36 + 535 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12965365296 and 12965365305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1011079 + ... + 1023821.

It is an arithmetic number, because the mean of its divisors is an integer number (154074960).

Almost surely, 2^12965365350 is an apocalyptic number.

12965365350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12965365350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22186794240).

12965365350 is an abundant number, since it is smaller than the sum of its proper divisors (31408223130).

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

12965365350 is a wasteful number, since it uses less digits than its factorization.

12965365350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12804 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 12965365350 in words is "twelve billion, nine hundred sixty-five million, three hundred sixty-five thousand, three hundred fifty".