107729994980160 has 1792 divisors, whose sum is σ = 450096180019200. Its totient is φ = 23748725145600.

The previous prime is 107729994980149. The next prime is 107729994980197. The reversal of 107729994980160 is 61089499927701.

107729994980160 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 299 + 94 + 98 + 0 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 129951742626 + ... + 129951743454.

Almost surely, 2^{107729994980160} is an apocalyptic number.

107729994980160 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 107729994980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225048090009600).

107729994980160 is an abundant number, since it is smaller than the sum of its proper divisors (342366185039040).

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

107729994980160 is a wasteful number, since it uses less digits than its factorization.

107729994980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 72.

The spelling of 107729994980160 in words is "one hundred seven trillion, seven hundred twenty-nine billion, nine hundred ninety-four million, nine hundred eighty thousand, one hundred sixty".