115606771200 has 720 divisors, whose sum is σ = 428331000240. Its totient is φ = 29762519040.

The previous prime is 115606771171. The next prime is 115606771207. The reversal of 115606771200 is 2177606511.

115606771200 is a `hidden beast` number, since 1 + 1 + 560 + 6 + 7 + 71 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115606771207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 496166284 + ... + 496166516.

It is an arithmetic number, because the mean of its divisors is an integer number (594904167).

Almost surely, 2^115606771200 is an apocalyptic number.

115606771200 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 115606771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214165500120).

115606771200 is an abundant number, since it is smaller than the sum of its proper divisors (312724229040).

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

115606771200 is a wasteful number, since it uses less digits than its factorization.

115606771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 115606771200 in words is "one hundred fifteen billion, six hundred six million, seven hundred seventy-one thousand, two hundred".