115667963556480 has 640 divisors, whose sum is σ = 434845737342720. Its totient is φ = 29242583580672.

The previous prime is 115667963556473. The next prime is 115667963556527. The reversal of 115667963556480 is 84655369766511.

It is a happy number.

115667963556480 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 6 + 7 + 9 + 63 + 556 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 115667963556399 and 115667963556408.

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 79 ways as a sum of consecutive naturals, for example, 134302909 + ... + 135161411.

It is an arithmetic number, because the mean of its divisors is an integer number (679446464598).

Almost surely, 2^{115667963556480} is an apocalyptic number.

115667963556480 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 115667963556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217422868671360).

115667963556480 is an abundant number, since it is smaller than the sum of its proper divisors (319177773786240).

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

115667963556480 is a wasteful number, since it uses less digits than its factorization.

115667963556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858670 (or 858649 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 115667963556480 in words is "one hundred fifteen trillion, six hundred sixty-seven billion, nine hundred sixty-three million, five hundred fifty-six thousand, four hundred eighty".