104206744627200 has 1728 divisors, whose sum is σ = 394217968435200. Its totient is φ = 26273031782400.

The previous prime is 104206744627151. The next prime is 104206744627259. The reversal of 104206744627200 is 2726447602401.

104206744627200 is a `hidden beast` number, since 1 + 0 + 420 + 67 + 44 + 62 + 72 + 0 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 120749413969 + ... + 120749414831.

It is an arithmetic number, because the mean of its divisors is an integer number (228135398400).

Almost surely, 2^{104206744627200} is an apocalyptic number.

104206744627200 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 104206744627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197108984217600).

104206744627200 is an abundant number, since it is smaller than the sum of its proper divisors (290011223808000).

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

104206744627200 is a wasteful number, since it uses less digits than its factorization.

104206744627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 104206744627200 in words is "one hundred four trillion, two hundred six billion, seven hundred forty-four million, six hundred twenty-seven thousand, two hundred".