107825283883008 has 896 divisors, whose sum is σ = 351250177904640. Its totient is φ = 32541014753280.

The previous prime is 107825283883003. The next prime is 107825283883019. The reversal of 107825283883008 is 800388382528701.

107825283883008 is a `hidden beast` number, since 1 + 0 + 78 + 2 + 528 + 3 + 8 + 8 + 30 + 0 + 8 = 666.

It is a super-2 number, since 2×107825283883008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107825283883003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20165563791 + ... + 20165569137.

It is an arithmetic number, because the mean of its divisors is an integer number (392020287840).

Almost surely, 2^{107825283883008} is an apocalyptic number.

107825283883008 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 107825283883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175625088952320).

107825283883008 is an abundant number, since it is smaller than the sum of its proper divisors (243424894021632).

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

107825283883008 is a wasteful number, since it uses less digits than its factorization.

107825283883008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 107825283883008 in words is "one hundred seven trillion, eight hundred twenty-five billion, two hundred eighty-three million, eight hundred eighty-three thousand, eight".