107488685585628 has 288 divisors, whose sum is σ = 282402144408384. Its totient is φ = 34452291354624.

The previous prime is 107488685585627. The next prime is 107488685585663. The reversal of 107488685585628 is 826585586884701.

107488685585628 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 8 + 8 + 6 + 8 + 5 + 585 + 6 + 28 = 666.

It is a hoax number, since the sum of its digits (81) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107488685585627) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23382352626 + ... + 23382357222.

It is an arithmetic number, because the mean of its divisors is an integer number (980563001418).

Almost surely, 2^{107488685585628} is an apocalyptic number.

107488685585628 is a gapful number since it is divisible by the number (18) 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 107488685585628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141201072204192).

107488685585628 is an abundant number, since it is smaller than the sum of its proper divisors (174913458822756).

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

107488685585628 is a wasteful number, since it uses less digits than its factorization.

107488685585628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 8257536000, while the sum is 81.

The spelling of 107488685585628 in words is "one hundred seven trillion, four hundred eighty-eight billion, six hundred eighty-five million, five hundred eighty-five thousand, six hundred twenty-eight".