11849809399680 has 512 divisors, whose sum is σ = 44167842984960. Its totient is φ = 2646434709504.

The previous prime is 11849809399591. The next prime is 11849809399709. The reversal of 11849809399680 is 8699390894811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104923402 + ... + 105036278.

It is an arithmetic number, because the mean of its divisors is an integer number (86265318330).

Almost surely, 2^{11849809399680} is an apocalyptic number.

11849809399680 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 11849809399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22083921492480).

11849809399680 is an abundant number, since it is smaller than the sum of its proper divisors (32318033585280).

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

11849809399680 is a wasteful number, since it uses less digits than its factorization.

11849809399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113086 (or 113074 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 75.

The spelling of 11849809399680 in words is "eleven trillion, eight hundred forty-nine billion, eight hundred nine million, three hundred ninety-nine thousand, six hundred eighty".