11949343600500 has 576 divisors, whose sum is σ = 39524457772800. Its totient is φ = 3151474905600.

The previous prime is 11949343600489. The next prime is 11949343600567. The reversal of 11949343600500 is 500634394911.

11949343600500 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 9 + 34 + 3 + 600 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4284453106 + ... + 4284455894.

It is an arithmetic number, because the mean of its divisors is an integer number (68618850300).

Almost surely, 2^{11949343600500} is an apocalyptic number.

11949343600500 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 11949343600500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762228886400).

11949343600500 is an abundant number, since it is smaller than the sum of its proper divisors (27575114172300).

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

11949343600500 is a wasteful number, since it uses less digits than its factorization.

11949343600500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 11949343600500 in words is "eleven trillion, nine hundred forty-nine billion, three hundred forty-three million, six hundred thousand, five hundred".