104558694240 has 1152 divisors, whose sum is σ = 453337952256. Its totient is φ = 19707494400.

The previous prime is 104558694217. The next prime is 104558694257. The reversal of 104558694240 is 42496855401.

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 104558694240.

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, 385825305 + ... + 385825575.

It is an arithmetic number, because the mean of its divisors is an integer number (393522528).

Almost surely, 2^104558694240 is an apocalyptic number.

104558694240 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 104558694240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226668976128).

104558694240 is an abundant number, since it is smaller than the sum of its proper divisors (348779258016).

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

104558694240 is a wasteful number, since it uses less digits than its factorization.

104558694240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 104558694240 in words is "one hundred four billion, five hundred fifty-eight million, six hundred ninety-four thousand, two hundred forty".