12983653800 has 864 divisors, whose sum is σ = 52235328600. Its totient is φ = 2868203520.

The previous prime is 12983653777. The next prime is 12983653807. The reversal of 12983653800 is 835638921.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 425761956 + 12557891844 = 20634^2 + 112062^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12983653807) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 244974574 + ... + 244974626.

Almost surely, 2^12983653800 is an apocalyptic number.

12983653800 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 12983653800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26117664300).

12983653800 is an abundant number, since it is smaller than the sum of its proper divisors (39251674800).

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

12983653800 is a wasteful number, since it uses less digits than its factorization.

12983653800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12983653800 in words is "twelve billion, nine hundred eighty-three million, six hundred fifty-three thousand, eight hundred".