12540283490592 has 384 divisors, whose sum is σ = 43780983563520. Its totient is φ = 3441585438720.

The previous prime is 12540283490533. The next prime is 12540283490593. The reversal of 12540283490592 is 29509438204521.

12540283490592 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 0 + 2 + 8 + 3 + 49 + 0 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12540283490593) 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, 5590728 + ... + 7505784.

It is an arithmetic number, because the mean of its divisors is an integer number (114012978030).

Almost surely, 2^{12540283490592} is an apocalyptic number.

12540283490592 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 12540283490592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21890491781760).

12540283490592 is an abundant number, since it is smaller than the sum of its proper divisors (31240700072928).

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

12540283490592 is a wasteful number, since it uses less digits than its factorization.

12540283490592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915153 (or 1915139 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 12540283490592 in words is "twelve trillion, five hundred forty billion, two hundred eighty-three million, four hundred ninety thousand, five hundred ninety-two".