104395531680 has 1152 divisors, whose sum is σ = 431532541440. Its totient is φ = 22708224000.

The previous prime is 104395531661. The next prime is 104395531759. The reversal of 104395531680 is 86135593401.

104395531680 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 9 + 553 + 16 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 433176360 + ... + 433176600.

It is an arithmetic number, because the mean of its divisors is an integer number (374594220).

Almost surely, 2^104395531680 is an apocalyptic number.

104395531680 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 104395531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215766270720).

104395531680 is an abundant number, since it is smaller than the sum of its proper divisors (327137009760).

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

104395531680 is a wasteful number, since it uses less digits than its factorization.

104395531680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 104395531680 in words is "one hundred four billion, three hundred ninety-five million, five hundred thirty-one thousand, six hundred eighty".