12837400576 has 416 divisors, whose sum is σ = 35932409856. Its totient is φ = 4423680000.

The previous prime is 12837400561. The next prime is 12837400579. The reversal of 12837400576 is 67500473821.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12837400579) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127102926 + ... + 127103026.

Almost surely, 2^12837400576 is an apocalyptic number.

12837400576 is a gapful number since it is divisible by the number (16) 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 12837400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17966204928).

12837400576 is an abundant number, since it is smaller than the sum of its proper divisors (23095009280).

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

12837400576 is a wasteful number, since it uses less digits than its factorization.

12837400576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 12837400576 in words is "twelve billion, eight hundred thirty-seven million, four hundred thousand, five hundred seventy-six".