11197640135808 has 1152 divisors, whose sum is σ = 39979335352320. Its totient is φ = 2945102893056.

The previous prime is 11197640135777. The next prime is 11197640135809. The reversal of 11197640135808 is 80853104679111.

11197640135808 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 7 + 6 + 40 + 13 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×11197640135808² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11197640135809) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30511280841 + ... + 30511281207.

It is an arithmetic number, because the mean of its divisors is an integer number (34704284160).

Almost surely, 2^{11197640135808} is an apocalyptic number.

11197640135808 is a gapful number since it is divisible by the number (18) 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 11197640135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19989667676160).

11197640135808 is an abundant number, since it is smaller than the sum of its proper divisors (28781695216512).

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

11197640135808 is a wasteful number, since it uses less digits than its factorization.

11197640135808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 11197640135808 in words is "eleven trillion, one hundred ninety-seven billion, six hundred forty million, one hundred thirty-five thousand, eight hundred eight".