12778857000 has 768 divisors, whose sum is σ = 55571443200. Its totient is φ = 2692569600.

The previous prime is 12778856969. The next prime is 12778857053. The reversal of 12778857000 is 75887721.

12778857000 is a `hidden beast` number, since 1 + 2 + 7 + 78 + 8 + 570 + 0 + 0 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17198629 + ... + 17199371.

It is an arithmetic number, because the mean of its divisors is an integer number (72358650).

Almost surely, 2^12778857000 is an apocalyptic number.

12778857000 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 12778857000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27785721600).

12778857000 is an abundant number, since it is smaller than the sum of its proper divisors (42792586200).

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

12778857000 is a wasteful number, since it uses less digits than its factorization.

12778857000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 12778857000 in words is "twelve billion, seven hundred seventy-eight million, eight hundred fifty-seven thousand".