15648639996800 has 192 divisors, whose sum is σ = 38764372046400. Its totient is φ = 6242099527680.

The previous prime is 15648639996797. The next prime is 15648639996889. The reversal of 15648639996800 is 869993684651.

15648639996800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971602432 + ... + 1971610368.

It is an arithmetic number, because the mean of its divisors is an integer number (201897771075).

Almost surely, 2^{15648639996800} is an apocalyptic number.

15648639996800 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 15648639996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19382186023200).

15648639996800 is an abundant number, since it is smaller than the sum of its proper divisors (23115732049600).

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

15648639996800 is a wasteful number, since it uses less digits than its factorization.

15648639996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 74.

The spelling of 15648639996800 in words is "fifteen trillion, six hundred forty-eight billion, six hundred thirty-nine million, nine hundred ninety-six thousand, eight hundred".