12772483920 has 320 divisors, whose sum is σ = 52014528000. Its totient is φ = 2818658304.

The previous prime is 12772483907. The next prime is 12772483987. The reversal of 12772483920 is 2938427721.

12772483920 is a `hidden beast` number, since 12 + 7 + 7 + 248 + 392 + 0 = 666.

It is a super-3 number, since 3×12772483920³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423916 + ... + 453044.

It is an arithmetic number, because the mean of its divisors is an integer number (162545400).

Almost surely, 2^12772483920 is an apocalyptic number.

12772483920 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 12772483920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26007264000).

12772483920 is an abundant number, since it is smaller than the sum of its proper divisors (39242044080).

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

12772483920 is a wasteful number, since it uses less digits than its factorization.

12772483920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29187 (or 29175 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12772483920 in words is "twelve billion, seven hundred seventy-two million, four hundred eighty-three thousand, nine hundred twenty".