107559492480 has 768 divisors, whose sum is σ = 435810585600. Its totient is φ = 24164352000.

The previous prime is 107559492449. The next prime is 107559492517. The reversal of 107559492480 is 84294955701.

It is a happy number.

107559492480 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 594 + 9 + 2 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56579530 + ... + 56581430.

It is an arithmetic number, because the mean of its divisors is an integer number (567461700).

Almost surely, 2^107559492480 is an apocalyptic number.

107559492480 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 107559492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217905292800).

107559492480 is an abundant number, since it is smaller than the sum of its proper divisors (328251093120).

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

107559492480 is a wasteful number, since it uses less digits than its factorization.

107559492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 107559492480 in words is "one hundred seven billion, five hundred fifty-nine million, four hundred ninety-two thousand, four hundred eighty".