12093075540 has 864 divisors, whose sum is σ = 49559328000. Its totient is φ = 2377589760.

The previous prime is 12093075503. The next prime is 12093075557. The reversal of 12093075540 is 4557039021.

12093075540 is a `hidden beast` number, since 1 + 20 + 93 + 0 + 7 + 5 + 540 = 666.

It is a super-2 number, since 2×12093075540² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12093075495 and 12093075504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 198247110 + ... + 198247170.

Almost surely, 2^12093075540 is an apocalyptic number.

12093075540 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 12093075540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24779664000).

12093075540 is an abundant number, since it is smaller than the sum of its proper divisors (37466252460).

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

12093075540 is a wasteful number, since it uses less digits than its factorization.

12093075540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12093075540 in words is "twelve billion, ninety-three million, seventy-five thousand, five hundred forty".