104859755642880 has 5376 divisors, whose sum is σ = 493867104393600. Its totient is φ = 21189497978880.

The previous prime is 104859755642867. The next prime is 104859755642891. The reversal of 104859755642880 is 88246557958401.

104859755642880 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 5 + 9 + 75 + 56 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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

It is a junction number, because it is equal to n+sod(n) for n = 104859755642799 and 104859755642808.

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 335 ways as a sum of consecutive naturals, for example, 2557555015660 + ... + 2557555015700.

Almost surely, 2^{104859755642880} is an apocalyptic number.

104859755642880 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 104859755642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246933552196800).

104859755642880 is an abundant number, since it is smaller than the sum of its proper divisors (389007348750720).

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

104859755642880 is an frugal number, since it uses more digits than its factorization.

104859755642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 72.

The spelling of 104859755642880 in words is "one hundred four trillion, eight hundred fifty-nine billion, seven hundred fifty-five million, six hundred forty-two thousand, eight hundred eighty".