12057776640 has 1120 divisors, whose sum is σ = 54100037376. Its totient is φ = 2508226560.

The previous prime is 12057776639. The next prime is 12057776681. The reversal of 12057776640 is 4667775021.

12057776640 is a `hidden beast` number, since 1 + 2 + 0 + 577 + 76 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 169827805 + ... + 169827875.

Almost surely, 2^12057776640 is an apocalyptic number.

12057776640 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 12057776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27050018688).

12057776640 is an abundant number, since it is smaller than the sum of its proper divisors (42042260736).

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

12057776640 is an frugal number, since it uses more digits than its factorization.

12057776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 12057776640 in words is "twelve billion, fifty-seven million, seven hundred seventy-six thousand, six hundred forty".