11997859905900 has 576 divisors, whose sum is σ = 44932524134400. Its totient is φ = 2717680896000.

The previous prime is 11997859905881. The next prime is 11997859905923. The reversal of 11997859905900 is 950995879911.

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, 26475624 + ... + 26924976.

It is an arithmetic number, because the mean of its divisors is an integer number (78007854400).

Almost surely, 2^{11997859905900} is an apocalyptic number.

11997859905900 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 11997859905900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22466262067200).

11997859905900 is an abundant number, since it is smaller than the sum of its proper divisors (32934664228500).

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

11997859905900 is a wasteful number, since it uses less digits than its factorization.

11997859905900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449447 (or 449434 counting only the distinct ones).

The product of its (nonzero) digits is 82668600, while the sum is 72.

The spelling of 11997859905900 in words is "eleven trillion, nine hundred ninety-seven billion, eight hundred fifty-nine million, nine hundred five thousand, nine hundred".