12059288640 has 896 divisors, whose sum is σ = 53038126080. Its totient is φ = 2516189184.

The previous prime is 12059288609. The next prime is 12059288651. The reversal of 12059288640 is 4688295021.

12059288640 is a `hidden beast` number, since 12 + 0 + 592 + 8 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 38041762 + ... + 38042078.

Almost surely, 2^12059288640 is an apocalyptic number.

12059288640 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 12059288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26519063040).

12059288640 is an abundant number, since it is smaller than the sum of its proper divisors (40978837440).

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

12059288640 is a wasteful number, since it uses less digits than its factorization.

12059288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12059288640 in words is "twelve billion, fifty-nine million, two hundred eighty-eight thousand, six hundred forty".