24783540012 has 216 divisors, whose sum is σ = 80899483392. Its totient is φ = 6214723200.

The previous prime is 24783539923. The next prime is 24783540013. The reversal of 24783540012 is 21004538742.

It is a happy number.

24783540012 is a `hidden beast` number, since 24 + 7 + 83 + 540 + 0 + 12 = 666.

It is a super-2 number, since 2×24783540012² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (24783540013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2325937 + ... + 2336567.

Almost surely, 2^24783540012 is an apocalyptic number.

24783540012 is a gapful number since it is divisible by the number (22) 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 24783540012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40449741696).

24783540012 is an abundant number, since it is smaller than the sum of its proper divisors (56115943380).

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

24783540012 is a wasteful number, since it uses less digits than its factorization.

24783540012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 24783540012 in words is "twenty-four billion, seven hundred eighty-three million, five hundred forty thousand, twelve".