107471868876000 has 1920 divisors, whose sum is σ = 413131445895168. Its totient is φ = 27342282240000.

The previous prime is 107471868875993. The next prime is 107471868876041. The reversal of 107471868876000 is 678868174701.

107471868876000 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 7 + 18 + 6 + 8 + 8 + 7 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 117971315545 + ... + 117971316455.

Almost surely, 2^{107471868876000} is an apocalyptic number.

107471868876000 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 107471868876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206565722947584).

107471868876000 is an abundant number, since it is smaller than the sum of its proper divisors (305659577019168).

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

107471868876000 is a wasteful number, since it uses less digits than its factorization.

107471868876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 107471868876000 in words is "one hundred seven trillion, four hundred seventy-one billion, eight hundred sixty-eight million, eight hundred seventy-six thousand".