107426909640960 has 5184 divisors, whose sum is σ = 528184339038720. Its totient is φ = 19851777146880.

The previous prime is 107426909640959. The next prime is 107426909640997. The reversal of 107426909640960 is 69046909624701.

107426909640960 is a `hidden beast` number, since 1 + 0 + 7 + 426 + 90 + 9 + 64 + 0 + 9 + 60 = 666.

It is a super-2 number, since 2×107426909640960² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 144585342349 + ... + 144585343091.

It is an arithmetic number, because the mean of its divisors is an integer number (101887411080).

Almost surely, 2^{107426909640960} is an apocalyptic number.

107426909640960 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 107426909640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264092169519360).

107426909640960 is an abundant number, since it is smaller than the sum of its proper divisors (420757429397760).

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

107426909640960 is a wasteful number, since it uses less digits than its factorization.

107426909640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 107426909640960 in words is "one hundred seven trillion, four hundred twenty-six billion, nine hundred nine million, six hundred forty thousand, nine hundred sixty".