11436135082680 has 384 divisors, whose sum is σ = 43186126717440. Its totient is φ = 2371489612800.

The previous prime is 11436135082651. The next prime is 11436135082717. The reversal of 11436135082680 is 8628053163411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49790662 + ... + 50019818.

It is an arithmetic number, because the mean of its divisors is an integer number (112463871660).

Almost surely, 2^{11436135082680} is an apocalyptic number.

11436135082680 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 11436135082680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21593063358720).

11436135082680 is an abundant number, since it is smaller than the sum of its proper divisors (31749991634760).

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

11436135082680 is a wasteful number, since it uses less digits than its factorization.

11436135082680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229691 (or 229676 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 11436135082680 in words is "eleven trillion, four hundred thirty-six billion, one hundred thirty-five million, eighty-two thousand, six hundred eighty".