12877979400 has 1152 divisors, whose sum is σ = 56302646400. Its totient is φ = 2687385600.

The previous prime is 12877979377. The next prime is 12877979423. The reversal of 12877979400 is 497977821.

It is an interprime number because it is at equal distance from previous prime (12877979377) and next prime (12877979423).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118146546 + ... + 118146654.

It is an arithmetic number, because the mean of its divisors is an integer number (48873825).

Almost surely, 2^12877979400 is an apocalyptic number.

12877979400 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 12877979400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28151323200).

12877979400 is an abundant number, since it is smaller than the sum of its proper divisors (43424667000).

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

12877979400 is a wasteful number, since it uses less digits than its factorization.

12877979400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 12877979400 in words is "twelve billion, eight hundred seventy-seven million, nine hundred seventy-nine thousand, four hundred".