104359821139200 has 1296 divisors, whose sum is σ = 397730747727936. Its totient is φ = 23884185600000.

The previous prime is 104359821139183. The next prime is 104359821139229. The reversal of 104359821139200 is 2931128953401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 104359821139200.

It is a congruent number.

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, 8321484930 + ... + 8321497470.

Almost surely, 2^{104359821139200} is an apocalyptic number.

104359821139200 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 104359821139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198865373863968).

104359821139200 is an abundant number, since it is smaller than the sum of its proper divisors (293370926588736).

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

104359821139200 is a wasteful number, since it uses less digits than its factorization.

104359821139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12684 (or 12634 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 104359821139200 in words is "one hundred four trillion, three hundred fifty-nine billion, eight hundred twenty-one million, one hundred thirty-nine thousand, two hundred".