107853396792000 has 2688 divisors, whose sum is σ = 409742540513280. Its totient is φ = 24931307520000.

The previous prime is 107853396791999. The next prime is 107853396792017. The reversal of 107853396792000 is 297693358701.

It is a Cunningham number, because it is equal to 10385249²-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 475125095887 + ... + 475125096113.

Almost surely, 2^{107853396792000} is an apocalyptic number.

107853396792000 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 107853396792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204871270256640).

107853396792000 is an abundant number, since it is smaller than the sum of its proper divisors (301889143721280).

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

107853396792000 is a wasteful number, since it uses less digits than its factorization.

107853396792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 107853396792000 in words is "one hundred seven trillion, eight hundred fifty-three billion, three hundred ninety-six million, seven hundred ninety-two thousand".