107892505842240 has 1792 divisors, whose sum is σ = 437978837975040. Its totient is φ = 21924465868800.

The previous prime is 107892505842239. The next prime is 107892505842271. The reversal of 107892505842240 is 42248505298701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76573814656 + ... + 76573816064.

Almost surely, 2^{107892505842240} is an apocalyptic number.

107892505842240 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 107892505842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218989418987520).

107892505842240 is an abundant number, since it is smaller than the sum of its proper divisors (330086332132800).

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

107892505842240 is a wasteful number, since it uses less digits than its factorization.

107892505842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 107892505842240 in words is "one hundred seven trillion, eight hundred ninety-two billion, five hundred five million, eight hundred forty-two thousand, two hundred forty".