11901959605800 has 576 divisors, whose sum is σ = 47069325763200. Its totient is φ = 2664703641600.

The previous prime is 11901959605787. The next prime is 11901959605807. The reversal of 11901959605800 is 850695910911.

11901959605800 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 1 + 9 + 59 + 6 + 0 + 580 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11901959605807) 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 143 ways as a sum of consecutive naturals, for example, 12755994 + ... + 13657206.

It is an arithmetic number, because the mean of its divisors is an integer number (81717579450).

Almost surely, 2^{11901959605800} is an apocalyptic number.

11901959605800 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 11901959605800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23534662881600).

11901959605800 is an abundant number, since it is smaller than the sum of its proper divisors (35167366157400).

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

11901959605800 is a wasteful number, since it uses less digits than its factorization.

11901959605800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901298 (or 901286 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 54.

The spelling of 11901959605800 in words is "eleven trillion, nine hundred one billion, nine hundred fifty-nine million, six hundred five thousand, eight hundred".