107986053120 has 768 divisors, whose sum is σ = 402869376000. Its totient is φ = 24622202880.

The previous prime is 107986053113. The next prime is 107986053137. The reversal of 107986053120 is 21350689701.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 776878011 + ... + 776878149.

It is an arithmetic number, because the mean of its divisors is an integer number (524569500).

Almost surely, 2^107986053120 is an apocalyptic number.

107986053120 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 107986053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201434688000).

107986053120 is an abundant number, since it is smaller than the sum of its proper divisors (294883322880).

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

107986053120 is a wasteful number, since it uses less digits than its factorization.

107986053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 107986053120 in words is "one hundred seven billion, nine hundred eighty-six million, fifty-three thousand, one hundred twenty".