12837928646400 has 864 divisors, whose sum is σ = 50714526062592. Its totient is φ = 2818587033600.

The previous prime is 12837928646377. The next prime is 12837928646429. The reversal of 12837928646400 is 464682973821.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145472689 + ... + 145560911.

It is an arithmetic number, because the mean of its divisors is an integer number (58697368128).

Almost surely, 2^{12837928646400} is an apocalyptic number.

12837928646400 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 12837928646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25357263031296).

12837928646400 is an abundant number, since it is smaller than the sum of its proper divisors (37876597416192).

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

12837928646400 is a wasteful number, since it uses less digits than its factorization.

12837928646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88329 (or 88310 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 12837928646400 in words is "twelve trillion, eight hundred thirty-seven billion, nine hundred twenty-eight million, six hundred forty-six thousand, four hundred".