11562522101680 has 80 divisors (see below), whose sum is σ = 29329410797568. Its totient is φ = 4204173536000.

The previous prime is 11562522101651. The next prime is 11562522101687. The reversal of 11562522101680 is 8610122526511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11562522101687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9242385 + ... + 10418575.

Almost surely, 2^{11562522101680} is an apocalyptic number.

11562522101680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11562522101680 is an abundant number, since it is smaller than the sum of its proper divisors (17766888695888).

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

11562522101680 is a wasteful number, since it uses less digits than its factorization.

11562522101680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187386 (or 1187380 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 11562522101680 in words is "eleven trillion, five hundred sixty-two billion, five hundred twenty-two million, one hundred one thousand, six hundred eighty".