12404550936960 has 3072 divisors, whose sum is σ = 59173453946880. Its totient is φ = 2408661909504.

The previous prime is 12404550936959. The next prime is 12404550936979. The reversal of 12404550936960 is 6963905540421.

12404550936960 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 45 + 509 + 3 + 6 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12404550936897 and 12404550936906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11307703132 + ... + 11307704228.

It is an arithmetic number, because the mean of its divisors is an integer number (19262192040).

Almost surely, 2^{12404550936960} is an apocalyptic number.

12404550936960 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 12404550936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29586726973440).

12404550936960 is an abundant number, since it is smaller than the sum of its proper divisors (46768903009920).

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

12404550936960 is a wasteful number, since it uses less digits than its factorization.

12404550936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 12404550936960 in words is "twelve trillion, four hundred four billion, five hundred fifty million, nine hundred thirty-six thousand, nine hundred sixty".