107869893072760 has 768 divisors, whose sum is σ = 317553660627840. Its totient is φ = 32657109811200.

The previous prime is 107869893072749. The next prime is 107869893072779. The reversal of 107869893072760 is 67270398968701.

107869893072760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23192836435 + ... + 23192841085.

Almost surely, 2^{107869893072760} is an apocalyptic number.

107869893072760 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 107869893072760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158776830313920).

107869893072760 is an abundant number, since it is smaller than the sum of its proper divisors (209683767555080).

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

107869893072760 is a wasteful number, since it uses less digits than its factorization.

107869893072760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 73.

The spelling of 107869893072760 in words is "one hundred seven trillion, eight hundred sixty-nine billion, eight hundred ninety-three million, seventy-two thousand, seven hundred sixty".