107985588480 has 2592 divisors, whose sum is σ = 535526691840. Its totient is φ = 20437401600.

The previous prime is 107985588407. The next prime is 107985588517. The reversal of 107985588480 is 84885589701.

107985588480 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 8 + 5 + 588 + 48 + 0 = 666.

It is a super-3 number, since 3×107985588480³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3483406065 + ... + 3483406095.

It is an arithmetic number, because the mean of its divisors is an integer number (206607520).

Almost surely, 2^107985588480 is an apocalyptic number.

107985588480 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 107985588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267763345920).

107985588480 is an abundant number, since it is smaller than the sum of its proper divisors (427541103360).

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

107985588480 is a wasteful number, since it uses less digits than its factorization.

107985588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 107985588480 in words is "one hundred seven billion, nine hundred eighty-five million, five hundred eighty-eight thousand, four hundred eighty".