24090813268056 has 192 divisors, whose sum is σ = 71038146816000. Its totient is φ = 7350012679680.

The previous prime is 24090813268033. The next prime is 24090813268103. The reversal of 24090813268056 is 65086231809042.

24090813268056 is a `hidden beast` number, since 2 + 409 + 0 + 81 + 32 + 6 + 80 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 24090813267993 and 24090813268011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3692025 + ... + 7862103.

It is an arithmetic number, because the mean of its divisors is an integer number (369990348000).

Almost surely, 2^{24090813268056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24090813268056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35519073408000).

24090813268056 is an abundant number, since it is smaller than the sum of its proper divisors (46947333547944).

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

24090813268056 is a wasteful number, since it uses less digits than its factorization.

24090813268056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170254 (or 4170247 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 24090813268056 in words is "twenty-four trillion, ninety billion, eight hundred thirteen million, two hundred sixty-eight thousand, fifty-six".