12935371680 has 768 divisors, whose sum is σ = 58025963520. Its totient is φ = 2612736000.

The previous prime is 12935371679. The next prime is 12935371693. The reversal of 12935371680 is 8617353921.

12935371680 is a `hidden beast` number, since 1 + 29 + 3 + 537 + 16 + 80 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 12307155 + ... + 12308205.

It is an arithmetic number, because the mean of its divisors is an integer number (75554640).

Almost surely, 2^12935371680 is an apocalyptic number.

12935371680 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 12935371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29012981760).

12935371680 is an abundant number, since it is smaller than the sum of its proper divisors (45090591840).

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

12935371680 is a wasteful number, since it uses less digits than its factorization.

12935371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12935371680 in words is "twelve billion, nine hundred thirty-five million, three hundred seventy-one thousand, six hundred eighty".