12977546340 has 192 divisors, whose sum is σ = 40325548032. Its totient is φ = 3092121600.

The previous prime is 12977546299. The next prime is 12977546471. The reversal of 12977546340 is 4364577921.

It is a self number, because there is not a number n which added to its sum of digits gives 12977546340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13201489 + ... + 13202471.

It is an arithmetic number, because the mean of its divisors is an integer number (210028896).

Almost surely, 2^12977546340 is an apocalyptic number.

12977546340 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 12977546340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20162774016).

12977546340 is an abundant number, since it is smaller than the sum of its proper divisors (27348001692).

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

12977546340 is a wasteful number, since it uses less digits than its factorization.

12977546340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 12977546340 in words is "twelve billion, nine hundred seventy-seven million, five hundred forty-six thousand, three hundred forty".