104732749180800 has 1536 divisors, whose sum is σ = 417352506480000. Its totient is φ = 25496215879680.

The previous prime is 104732749180799. The next prime is 104732749180811. The reversal of 104732749180800 is 8081947237401.

104732749180800 is a `hidden beast` number, since 1 + 0 + 4 + 73 + 2 + 7 + 491 + 8 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 41087777926 + ... + 41087780474.

Almost surely, 2^{104732749180800} is an apocalyptic number.

104732749180800 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 104732749180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208676253240000).

104732749180800 is an abundant number, since it is smaller than the sum of its proper divisors (312619757299200).

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

104732749180800 is a wasteful number, since it uses less digits than its factorization.

104732749180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 104732749180800 in words is "one hundred four trillion, seven hundred thirty-two billion, seven hundred forty-nine million, one hundred eighty thousand, eight hundred".