12777828000 has 576 divisors, whose sum is σ = 50336971776. Its totient is φ = 2822400000.

The previous prime is 12777827983. The next prime is 12777828001. The reversal of 12777828000 is 82877721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12777828001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18227650 + ... + 18228350.

It is an arithmetic number, because the mean of its divisors is an integer number (87390576).

Almost surely, 2^12777828000 is an apocalyptic number.

12777828000 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 12777828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25168485888).

12777828000 is an abundant number, since it is smaller than the sum of its proper divisors (37559143776).

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

12777828000 is a wasteful number, since it uses less digits than its factorization.

12777828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The spelling of 12777828000 in words is "twelve billion, seven hundred seventy-seven million, eight hundred twenty-eight thousand".