103339594874880 has 1920 divisors, whose sum is σ = 445559482368000. Its totient is φ = 21574761578496.

The previous prime is 103339594874821. The next prime is 103339594874909. The reversal of 103339594874880 is 88478495933301.

103339594874880 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 395 + 94 + 8 + 74 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 103339594874799 and 103339594874808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272663838531 + ... + 272663838909.

It is an arithmetic number, because the mean of its divisors is an integer number (232062230400).

Almost surely, 2^{103339594874880} is an apocalyptic number.

103339594874880 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 103339594874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222779741184000).

103339594874880 is an abundant number, since it is smaller than the sum of its proper divisors (342219887493120).

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

103339594874880 is an equidigital number, since it uses as much as digits as its factorization.

103339594874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 103339594874880 in words is "one hundred three trillion, three hundred thirty-nine billion, five hundred ninety-four million, eight hundred seventy-four thousand, eight hundred eighty".