107732920025808 has 640 divisors, whose sum is σ = 399078743040000. Its totient is φ = 27000954408960.

The previous prime is 107732920025777. The next prime is 107732920025821. The reversal of 107732920025808 is 808520029237701.

107732920025808 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 32 + 9 + 20 + 0 + 2 + 580 + 8 = 666.

107732920025808 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 10379447²-1.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1598401293 + ... + 1598468691.

It is an arithmetic number, because the mean of its divisors is an integer number (623560536000).

Almost surely, 2^{107732920025808} is an apocalyptic number.

107732920025808 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 107732920025808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199539371520000).

107732920025808 is an abundant number, since it is smaller than the sum of its proper divisors (291345823014192).

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

107732920025808 is a wasteful number, since it uses less digits than its factorization.

107732920025808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69120 (or 69108 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 107732920025808 in words is "one hundred seven trillion, seven hundred thirty-two billion, nine hundred twenty million, twenty-five thousand, eight hundred eight".