11643417420120 has 96 divisors (see below), whose sum is σ = 37841933207520. Its totient is φ = 3104843489280.

The previous prime is 11643417420109. The next prime is 11643417420121. The reversal of 11643417420120 is 2102471434611.

11643417420120 is a `hidden beast` number, since 1 + 1 + 6 + 434 + 17 + 4 + 201 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11643417420121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17385880 + ... + 18043160.

It is an arithmetic number, because the mean of its divisors is an integer number (394186804245).

Almost surely, 2^{11643417420120} is an apocalyptic number.

11643417420120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11643417420120 is an abundant number, since it is smaller than the sum of its proper divisors (26198515787400).

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

11643417420120 is a wasteful number, since it uses less digits than its factorization.

11643417420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706505 (or 706498 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 11643417420120 its reverse (2102471434611), we get a palindrome (13745888854731).

The spelling of 11643417420120 in words is "eleven trillion, six hundred forty-three billion, four hundred seventeen million, four hundred twenty thousand, one hundred twenty".