12771924480 has 720 divisors, whose sum is σ = 53487514080. Its totient is φ = 2912329728.

The previous prime is 12771924467. The next prime is 12771924491. The reversal of 12771924480 is 8442917721.

12771924480 is a `hidden beast` number, since 12 + 7 + 7 + 192 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 30481711 + ... + 30482129.

It is an arithmetic number, because the mean of its divisors is an integer number (74288214).

Almost surely, 2^12771924480 is an apocalyptic number.

12771924480 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 12771924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743757040).

12771924480 is an abundant number, since it is smaller than the sum of its proper divisors (40715589600).

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

12771924480 is an frugal number, since it uses more digits than its factorization.

12771924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

12771924480 divided by its product of nonzero digits (225792) gives a palindrome (56565).

The spelling of 12771924480 in words is "twelve billion, seven hundred seventy-one million, nine hundred twenty-four thousand, four hundred eighty".