115607561909952 has 336 divisors, whose sum is σ = 357255121708800. Its totient is φ = 32319110596608.

The previous prime is 115607561909923. The next prime is 115607561910053. The reversal of 115607561909952 is 259909165706511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 898884883 + ... + 899013485.

It is an arithmetic number, because the mean of its divisors is an integer number (1063259290800).

Almost surely, 2^{115607561909952} is an apocalyptic number.

115607561909952 is a gapful number since it is divisible by the number (12) 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 115607561909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178627560854400).

115607561909952 is an abundant number, since it is smaller than the sum of its proper divisors (241647559798848).

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

115607561909952 is a wasteful number, since it uses less digits than its factorization.

115607561909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128908 (or 128831 counting only the distinct ones).

The product of its (nonzero) digits is 45927000, while the sum is 66.

The spelling of 115607561909952 in words is "one hundred fifteen trillion, six hundred seven billion, five hundred sixty-one million, nine hundred nine thousand, nine hundred fifty-two".