11831635940520 has 256 divisors, whose sum is σ = 40774109184000. Its totient is φ = 2716353100800.

The previous prime is 11831635940513. The next prime is 11831635940521. The reversal of 11831635940520 is 2504953613811.

It is a self number, because there is not a number n which added to its sum of digits gives 11831635940520.

It is not an unprimeable number, because it can be changed into a prime (11831635940521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72123390 + ... + 72287250.

It is an arithmetic number, because the mean of its divisors is an integer number (159273864000).

Almost surely, 2^{11831635940520} is an apocalyptic number.

11831635940520 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 11831635940520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20387054592000).

11831635940520 is an abundant number, since it is smaller than the sum of its proper divisors (28942473243480).

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

11831635940520 is a wasteful number, since it uses less digits than its factorization.

11831635940520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166784 (or 166780 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 11831635940520 in words is "eleven trillion, eight hundred thirty-one billion, six hundred thirty-five million, nine hundred forty thousand, five hundred twenty".