12892920768 has 1008 divisors, whose sum is σ = 51505774560. Its totient is φ = 3139928064.

The previous prime is 12892920767. The next prime is 12892920797. The reversal of 12892920768 is 86702929821.

12892920768 is a `hidden beast` number, since 1 + 289 + 292 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12892920767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 243262630 + ... + 243262682.

Almost surely, 2^12892920768 is an apocalyptic number.

12892920768 is a gapful number since it is divisible by the number (18) 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 12892920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25752887280).

12892920768 is an abundant number, since it is smaller than the sum of its proper divisors (38612853792).

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

12892920768 is a wasteful number, since it uses less digits than its factorization.

12892920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12892920768 in words is "twelve billion, eight hundred ninety-two million, nine hundred twenty thousand, seven hundred sixty-eight".