107199866880 has 768 divisors, whose sum is σ = 398529331200. Its totient is φ = 27311800320.

The previous prime is 107199866867. The next prime is 107199866897. The reversal of 107199866880 is 88668991701.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×107199866880² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844093377 + ... + 844093503.

It is an arithmetic number, because the mean of its divisors is an integer number (518918400).

Almost surely, 2^107199866880 is an apocalyptic number.

107199866880 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 107199866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199264665600).

107199866880 is an abundant number, since it is smaller than the sum of its proper divisors (291329464320).

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

107199866880 is a wasteful number, since it uses less digits than its factorization.

107199866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 107199866880 in words is "one hundred seven billion, one hundred ninety-nine million, eight hundred sixty-six thousand, eight hundred eighty".