12905292740544 has 252 divisors, whose sum is σ = 38523605382912. Its totient is φ = 4130195650560.

The previous prime is 12905292740539. The next prime is 12905292740551. The reversal of 12905292740544 is 44504729250921.

12905292740544 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 5 + 2 + 92 + 7 + 4 + 0 + 544 = 666.

It is a super-2 number, since 2×12905292740544² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70207284 + ... + 70390860.

Almost surely, 2^{12905292740544} 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 12905292740544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19261802691456).

12905292740544 is an abundant number, since it is smaller than the sum of its proper divisors (25618312642368).

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

12905292740544 is a wasteful number, since it uses less digits than its factorization.

12905292740544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183784 (or 183740 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12905292740544 in words is "twelve trillion, nine hundred five billion, two hundred ninety-two million, seven hundred forty thousand, five hundred forty-four".