107087573585664 has 864 divisors, whose sum is σ = 380718514176000. Its totient is φ = 28269845323776.

The previous prime is 107087573585653. The next prime is 107087573585687. The reversal of 107087573585664 is 466585375780701.

107087573585664 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 8 + 7 + 5 + 7 + 3 + 58 + 566 + 4 = 666.

It is a super-2 number, since 2×107087573585664² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 107087573585592 and 107087573585601.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2296071657 + ... + 2296118295.

Almost surely, 2^{107087573585664} is an apocalyptic number.

107087573585664 is a gapful number since it is divisible by the number (14) 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 107087573585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190359257088000).

107087573585664 is an abundant number, since it is smaller than the sum of its proper divisors (273630940590336).

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

107087573585664 is a wasteful number, since it uses less digits than its factorization.

107087573585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46873 (or 46856 counting only the distinct ones).

The product of its (nonzero) digits is 1185408000, while the sum is 72.

The spelling of 107087573585664 in words is "one hundred seven trillion, eighty-seven billion, five hundred seventy-three million, five hundred eighty-five thousand, six hundred sixty-four".