107750268342864 has 960 divisors, whose sum is σ = 385546416592896. Its totient is φ = 27389494296576.

The previous prime is 107750268342811. The next prime is 107750268342889. The reversal of 107750268342864 is 468243862057701.

107750268342864 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 50 + 26 + 83 + 428 + 64 = 666.

It is a super-2 number, since 2×107750268342864² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4082518852 + ... + 4082545244.

Almost surely, 2^{107750268342864} is an apocalyptic number.

107750268342864 is a gapful number since it is divisible by the number (14) 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 107750268342864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192773208296448).

107750268342864 is an abundant number, since it is smaller than the sum of its proper divisors (277796148250032).

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

107750268342864 is a wasteful number, since it uses less digits than its factorization.

107750268342864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26652 (or 26643 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 107750268342864 in words is "one hundred seven trillion, seven hundred fifty billion, two hundred sixty-eight million, three hundred forty-two thousand, eight hundred sixty-four".