12073767552 has 512 divisors, whose sum is σ = 45239040000. Its totient is φ = 3078881280.

The previous prime is 12073767551. The next prime is 12073767571. The reversal of 12073767552 is 25576737021.

12073767552 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 37 + 67 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12073767498 and 12073767507.

It is not an unprimeable number, because it can be changed into a prime (12073767551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15700224 + ... + 15700992.

It is an arithmetic number, because the mean of its divisors is an integer number (88357500).

Almost surely, 2^12073767552 is an apocalyptic number.

12073767552 is a gapful number since it is divisible by the number (12) 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 12073767552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619520000).

12073767552 is an abundant number, since it is smaller than the sum of its proper divisors (33165272448).

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

12073767552 is a wasteful number, since it uses less digits than its factorization.

12073767552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 12073767552 in words is "twelve billion, seventy-three million, seven hundred sixty-seven thousand, five hundred fifty-two".