12906872573040 has 400 divisors, whose sum is σ = 45955304240736. Its totient is φ = 3355536844800.

The previous prime is 12906872573039. The next prime is 12906872573047. The reversal of 12906872573040 is 4037527860921.

It is a happy number.

12906872573040 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 6 + 87 + 257 + 304 + 0 = 666.

12906872573040 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 not an unprimeable number, because it can be changed into a prime (12906872573047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150701430 + ... + 150787050.

It is a 1-persistent number, because it is pandigital, but 2⋅12906872573040 = 25813745146080 is not.

Almost surely, 2^{12906872573040} is an apocalyptic number.

12906872573040 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 12906872573040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22977652120368).

12906872573040 is an abundant number, since it is smaller than the sum of its proper divisors (33048431667696).

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

12906872573040 is a wasteful number, since it uses less digits than its factorization.

12906872573040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86230 (or 86215 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12906872573040 in words is "twelve trillion, nine hundred six billion, eight hundred seventy-two million, five hundred seventy-three thousand, forty".