11526164202040 has 128 divisors (see below), whose sum is σ = 27959450112000. Its totient is φ = 4262294711808.

The previous prime is 11526164202037. The next prime is 11526164202061. The reversal of 11526164202040 is 4020246162511.

It is a super-2 number, since 2×11526164202040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11526164201987 and 11526164202005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35360926 + ... + 35685394.

It is an arithmetic number, because the mean of its divisors is an integer number (218433204000).

Almost surely, 2^{11526164202040} is an apocalyptic number.

11526164202040 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 11526164202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979725056000).

11526164202040 is an abundant number, since it is smaller than the sum of its proper divisors (16433285909960).

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

11526164202040 is a wasteful number, since it uses less digits than its factorization.

11526164202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325629 (or 325625 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 11526164202040 in words is "eleven trillion, five hundred twenty-six billion, one hundred sixty-four million, two hundred two thousand, forty".