11217806124840 has 2560 divisors, whose sum is σ = 49426395955200. Its totient is φ = 2221691535360.

The previous prime is 11217806124809. The next prime is 11217806124871. The reversal of 11217806124840 is 4842160871211.

11217806124840 is a `hidden beast` number, since 1 + 1 + 21 + 7 + 8 + 0 + 612 + 4 + 8 + 4 + 0 = 666.

11217806124840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11217806124809) and next prime (11217806124871).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 58731969145 + ... + 58731969335.

It is an arithmetic number, because the mean of its divisors is an integer number (19307185920).

Almost surely, 2^{11217806124840} is an apocalyptic number.

11217806124840 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 11217806124840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24713197977600).

11217806124840 is an abundant number, since it is smaller than the sum of its proper divisors (38208589830360).

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

11217806124840 is a wasteful number, since it uses less digits than its factorization.

11217806124840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11217806124840 in words is "eleven trillion, two hundred seventeen billion, eight hundred six million, one hundred twenty-four thousand, eight hundred forty".