11690603642880 has 408 divisors, whose sum is σ = 40945923996432. Its totient is φ = 3085279690752.

The previous prime is 11690603642869. The next prime is 11690603642911. The reversal of 11690603642880 is 8824630609611.

11690603642880 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 0 + 603 + 6 + 4 + 28 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286044207 + ... + 286085073.

It is an arithmetic number, because the mean of its divisors is an integer number (100357656854).

Almost surely, 2^{11690603642880} is an apocalyptic number.

11690603642880 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 11690603642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20472961998216).

11690603642880 is an abundant number, since it is smaller than the sum of its proper divisors (29255320353552).

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

11690603642880 is an frugal number, since it uses more digits than its factorization.

11690603642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41007 (or 40974 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 11690603642880 in words is "eleven trillion, six hundred ninety billion, six hundred three million, six hundred forty-two thousand, eight hundred eighty".