107863628040 has 192 divisors, whose sum is σ = 400758883200. Its totient is φ = 24647003136.

The previous prime is 107863628039. The next prime is 107863628123. The reversal of 107863628040 is 40826368701.

107863628040 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 636 + 2 + 8 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15945699 + ... + 15952461.

It is an arithmetic number, because the mean of its divisors is an integer number (2087285850).

Almost surely, 2^107863628040 is an apocalyptic number.

107863628040 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 107863628040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200379441600).

107863628040 is an abundant number, since it is smaller than the sum of its proper divisors (292895255160).

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

107863628040 is a wasteful number, since it uses less digits than its factorization.

107863628040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13116 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 107863628040 in words is "one hundred seven billion, eight hundred sixty-three million, six hundred twenty-eight thousand, forty".