11701617826040 has 64 divisors (see below), whose sum is σ = 26625102356160. Its totient is φ = 4628033556480.

The previous prime is 11701617826039. The next prime is 11701617826091. The reversal of 11701617826040 is 4062871610711.

11701617826040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11701617825982 and 11701617826000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2705870 + ... + 5543010.

It is an arithmetic number, because the mean of its divisors is an integer number (416017224315).

Almost surely, 2^{11701617826040} is an apocalyptic number.

11701617826040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11701617826040 is an abundant number, since it is smaller than the sum of its proper divisors (14923484530120).

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

11701617826040 is a wasteful number, since it uses less digits than its factorization.

11701617826040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838312 (or 2838308 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The spelling of 11701617826040 in words is "eleven trillion, seven hundred one billion, six hundred seventeen million, eight hundred twenty-six thousand, forty".