12937487904 has 288 divisors, whose sum is σ = 42975878400. Its totient is φ = 3650158080.

The previous prime is 12937487897. The next prime is 12937487993. The reversal of 12937487904 is 40978473921.

12937487904 is a `hidden beast` number, since 129 + 37 + 487 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12937487904² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3549507 + ... + 3553149.

It is an arithmetic number, because the mean of its divisors is an integer number (149221800).

Almost surely, 2^12937487904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12937487904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21487939200).

12937487904 is an abundant number, since it is smaller than the sum of its proper divisors (30038390496).

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

12937487904 is a wasteful number, since it uses less digits than its factorization.

12937487904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 12937487904 in words is "twelve billion, nine hundred thirty-seven million, four hundred eighty-seven thousand, nine hundred four".