104578762869984 has 384 divisors, whose sum is σ = 311125147200000. Its totient is φ = 30530997116928.

The previous prime is 104578762869913. The next prime is 104578762869991. The reversal of 104578762869984 is 489968267875401.

It is a junction number, because it is equal to n+sod(n) for n = 104578762869897 and 104578762869906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7471505674 + ... + 7471519670.

It is an arithmetic number, because the mean of its divisors is an integer number (810221737500).

Almost surely, 2^{104578762869984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104578762869984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155562573600000).

104578762869984 is an abundant number, since it is smaller than the sum of its proper divisors (206546384330016).

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

104578762869984 is a wasteful number, since it uses less digits than its factorization.

104578762869984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17610 (or 17602 counting only the distinct ones).

The product of its (nonzero) digits is 11705057280, while the sum is 84.

The spelling of 104578762869984 in words is "one hundred four trillion, five hundred seventy-eight billion, seven hundred sixty-two million, eight hundred sixty-nine thousand, nine hundred eighty-four".