12639552962400 has 2304 divisors, whose sum is σ = 59795772825600. Its totient is φ = 2502045573120.

The previous prime is 12639552962389. The next prime is 12639552962453. The reversal of 12639552962400 is 426925593621.

12639552962400 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 9 + 5 + 5 + 2 + 9 + 624 + 0 + 0 = 666.

12639552962400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 3996063219 + ... + 3996066381.

It is an arithmetic number, because the mean of its divisors is an integer number (25953026400).

Almost surely, 2^{12639552962400} is an apocalyptic number.

12639552962400 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 12639552962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29897886412800).

12639552962400 is an abundant number, since it is smaller than the sum of its proper divisors (47156219863200).

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

12639552962400 is a wasteful number, since it uses less digits than its factorization.

12639552962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3319 counting only the distinct ones).

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

The spelling of 12639552962400 in words is "twelve trillion, six hundred thirty-nine billion, five hundred fifty-two million, nine hundred sixty-two thousand, four hundred".