12068977536 has 1152 divisors, whose sum is σ = 49488768000. Its totient is φ = 2874009600.

The previous prime is 12068977523. The next prime is 12068977559. The reversal of 12068977536 is 63577986021.

12068977536 is a `hidden beast` number, since 1 + 20 + 6 + 89 + 7 + 7 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 389321841 + ... + 389321871.

It is an arithmetic number, because the mean of its divisors is an integer number (42959000).

Almost surely, 2^12068977536 is an apocalyptic number.

12068977536 is a gapful number since it is divisible by the number (16) 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 12068977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24744384000).

12068977536 is an abundant number, since it is smaller than the sum of its proper divisors (37419790464).

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

12068977536 is a wasteful number, since it uses less digits than its factorization.

12068977536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 12068977536 in words is "twelve billion, sixty-eight million, nine hundred seventy-seven thousand, five hundred thirty-six".