104329632508800 has 384 divisors, whose sum is σ = 363882462933600. Its totient is φ = 26182326681600.

The previous prime is 104329632508799. The next prime is 104329632508859. The reversal of 104329632508800 is 8805236923401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2436391390 + ... + 2436434210.

Almost surely, 2^{104329632508800} is an apocalyptic number.

104329632508800 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 104329632508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181941231466800).

104329632508800 is an abundant number, since it is smaller than the sum of its proper divisors (259552830424800).

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

104329632508800 is a wasteful number, since it uses less digits than its factorization.

104329632508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57794 (or 57777 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 104329632508800 in words is "one hundred four trillion, three hundred twenty-nine billion, six hundred thirty-two million, five hundred eight thousand, eight hundred".