107680881207800 has 192 divisors, whose sum is σ = 254664336585120. Its totient is φ = 42337789378560.

The previous prime is 107680881207799. The next prime is 107680881207803. The reversal of 107680881207800 is 8702188086701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107680881207803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8171874812 + ... + 8171887988.

Almost surely, 2^{107680881207800} is an apocalyptic number.

107680881207800 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 107680881207800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127332168292560).

107680881207800 is an abundant number, since it is smaller than the sum of its proper divisors (146983455377320).

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

107680881207800 is a wasteful number, since it uses less digits than its factorization.

107680881207800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16130 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 56.

The spelling of 107680881207800 in words is "one hundred seven trillion, six hundred eighty billion, eight hundred eighty-one million, two hundred seven thousand, eight hundred".