104586214521600 has 3240 divisors, whose sum is σ = 482689795563360. Its totient is φ = 21858358394880.

The previous prime is 104586214521583. The next prime is 104586214521623. The reversal of 104586214521600 is 6125412685401.

104586214521600 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 8 + 6 + 2 + 14 + 5 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 37989905824 + ... + 37989908576.

It is an arithmetic number, because the mean of its divisors is an integer number (148978331964).

Almost surely, 2^{104586214521600} is an apocalyptic number.

104586214521600 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 104586214521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241344897781680).

104586214521600 is an abundant number, since it is smaller than the sum of its proper divisors (378103581041760).

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

104586214521600 is a wasteful number, since it uses less digits than its factorization.

104586214521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 104586214521600 in words is "one hundred four trillion, five hundred eighty-six billion, two hundred fourteen million, five hundred twenty-one thousand, six hundred".