107609957655840 has 144 divisors (see below), whose sum is σ = 379064754222336. Its totient is φ = 27770311641600.

The previous prime is 107609957655797. The next prime is 107609957655857. The reversal of 107609957655840 is 48556759906701.

107609957655840 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 0 + 9 + 9 + 576 + 5 + 5 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×107609957655840² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1205264026 + ... + 1205353305.

It is an arithmetic number, because the mean of its divisors is an integer number (2632394126544).

Almost surely, 2^{107609957655840} is an apocalyptic number.

107609957655840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107609957655840 is an abundant number, since it is smaller than the sum of its proper divisors (271454796566496).

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

107609957655840 is a wasteful number, since it uses less digits than its factorization.

107609957655840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410617383 (or 2410617372 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 107609957655840 in words is "one hundred seven trillion, six hundred nine billion, nine hundred fifty-seven million, six hundred fifty-five thousand, eight hundred forty".