12905930880 has 320 divisors, whose sum is σ = 48518870400. Its totient is φ = 3260196864.

The previous prime is 12905930777. The next prime is 12905930963. The reversal of 12905930880 is 8803950921.

It is a happy number.

12905930880 is a `hidden beast` number, since 1 + 290 + 59 + 308 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 978409 + ... + 991511.

It is an arithmetic number, because the mean of its divisors is an integer number (151621470).

Almost surely, 2^12905930880 is an apocalyptic number.

12905930880 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 12905930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24259435200).

12905930880 is an abundant number, since it is smaller than the sum of its proper divisors (35612939520).

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

12905930880 is a wasteful number, since it uses less digits than its factorization.

12905930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13153 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12905930880 in words is "twelve billion, nine hundred five million, nine hundred thirty thousand, eight hundred eighty".