104965880207760 has 640 divisors, whose sum is σ = 424927502899200. Its totient is φ = 23479441643520.

The previous prime is 104965880207759. The next prime is 104965880207791. The reversal of 104965880207760 is 67702088569401.

104965880207760 is a `hidden beast` number, since 1 + 0 + 49 + 6 + 588 + 0 + 2 + 0 + 7 + 7 + 6 + 0 = 666.

104965880207760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104965880207760² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 784179399 + ... + 784313241.

It is an arithmetic number, because the mean of its divisors is an integer number (663949223280).

Almost surely, 2^{104965880207760} is an apocalyptic number.

104965880207760 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 104965880207760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212463751449600).

104965880207760 is an abundant number, since it is smaller than the sum of its proper divisors (319961622691440).

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

104965880207760 is a wasteful number, since it uses less digits than its factorization.

104965880207760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136428 (or 136416 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 104965880207760 in words is "one hundred four trillion, nine hundred sixty-five billion, eight hundred eighty million, two hundred seven thousand, seven hundred sixty".