12877300800 has 1008 divisors, whose sum is σ = 58331599872. Its totient is φ = 2621030400.

The previous prime is 12877300741. The next prime is 12877300829. The reversal of 12877300800 is 800377821.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40622242 + ... + 40622558.

Almost surely, 2^12877300800 is an apocalyptic number.

12877300800 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 12877300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29165799936).

12877300800 is an abundant number, since it is smaller than the sum of its proper divisors (45454299072).

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

12877300800 is a wasteful number, since it uses less digits than its factorization.

12877300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12877300800 in words is "twelve billion, eight hundred seventy-seven million, three hundred thousand, eight hundred".