104259338396928 has 1944 divisors, whose sum is σ = 380280713904000. Its totient is φ = 28437914419200.

The previous prime is 104259338396923. The next prime is 104259338396977. The reversal of 104259338396928 is 829693833952401.

104259338396928 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 593 + 3 + 8 + 3 + 9 + 6 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104259338396923) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 52155746073 + ... + 52155748071.

Almost surely, 2^{104259338396928} is an apocalyptic number.

104259338396928 is a gapful number since it is divisible by the number (18) 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 104259338396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190140356952000).

104259338396928 is an abundant number, since it is smaller than the sum of its proper divisors (276021375507072).

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

104259338396928 is a wasteful number, since it uses less digits than its factorization.

104259338396928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 104259338396928 in words is "one hundred four trillion, two hundred fifty-nine billion, three hundred thirty-eight million, three hundred ninety-six thousand, nine hundred twenty-eight".