12772814400 has 672 divisors, whose sum is σ = 48975020160. Its totient is φ = 3234816000.

The previous prime is 12772814371. The next prime is 12772814413. The reversal of 12772814400 is 441827721.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97502335 + ... + 97502465.

Almost surely, 2^12772814400 is an apocalyptic number.

12772814400 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 12772814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24487510080).

12772814400 is an abundant number, since it is smaller than the sum of its proper divisors (36202205760).

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

12772814400 is a wasteful number, since it uses less digits than its factorization.

12772814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 12772814400 in words is "twelve billion, seven hundred seventy-two million, eight hundred fourteen thousand, four hundred".