115267607746560 has 1440 divisors, whose sum is σ = 430459489540080. Its totient is φ = 29491538558976.

The previous prime is 115267607746547. The next prime is 115267607746639. The reversal of 115267607746560 is 65647706762511.

115267607746560 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 6 + 7 + 60 + 7 + 7 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×115267607746560² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 97108346287 + ... + 97108347473.

Almost surely, 2^{115267607746560} is an apocalyptic number.

115267607746560 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 115267607746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215229744770040).

115267607746560 is an abundant number, since it is smaller than the sum of its proper divisors (315191881793520).

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

115267607746560 is an equidigital number, since it uses as much as digits as its factorization.

115267607746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 115267607746560 in words is "one hundred fifteen trillion, two hundred sixty-seven billion, six hundred seven million, seven hundred forty-six thousand, five hundred sixty".