12057749786880 has 720 divisors, whose sum is σ = 50238888505344. Its totient is φ = 2704047390720.

The previous prime is 12057749786839. The next prime is 12057749786947. The reversal of 12057749786880 is 8868794775021.

12057749786880 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 77 + 497 + 8 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12057749786799 and 12057749786808.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38308545 + ... + 38622015.

Almost surely, 2^{12057749786880} is an apocalyptic number.

12057749786880 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 12057749786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25119444252672).

12057749786880 is an abundant number, since it is smaller than the sum of its proper divisors (38181138718464).

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

12057749786880 is an equidigital number, since it uses as much as digits as its factorization.

12057749786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313564 (or 313541 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 12057749786880 in words is "twelve trillion, fifty-seven billion, seven hundred forty-nine million, seven hundred eighty-six thousand, eight hundred eighty".