11804958105120 has 960 divisors, whose sum is σ = 45805106793600. Its totient is φ = 2852391075840.

The previous prime is 11804958105113. The next prime is 11804958105137. The reversal of 11804958105120 is 2150185940811.

11804958105120 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 49 + 581 + 0 + 5 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 537530940 + ... + 537552900.

It is an arithmetic number, because the mean of its divisors is an integer number (47713652910).

Almost surely, 2^{11804958105120} is an apocalyptic number.

11804958105120 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 11804958105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22902553396800).

11804958105120 is an abundant number, since it is smaller than the sum of its proper divisors (34000148688480).

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

11804958105120 is a wasteful number, since it uses less digits than its factorization.

11804958105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22103 (or 22086 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 11804958105120 in words is "eleven trillion, eight hundred four billion, nine hundred fifty-eight million, one hundred five thousand, one hundred twenty".