115697312755200 has 3840 divisors, whose sum is σ = 501237918720000. Its totient is φ = 25862602752000.

The previous prime is 115697312755097. The next prime is 115697312755207. The reversal of 115697312755200 is 2557213796511.

It is a happy number.

115697312755200 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 9 + 73 + 12 + 7 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115697312755207) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 331510924626 + ... + 331510924974.

It is an arithmetic number, because the mean of its divisors is an integer number (130530708000).

Almost surely, 2^{115697312755200} is an apocalyptic number.

115697312755200 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 115697312755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250618959360000).

115697312755200 is an abundant number, since it is smaller than the sum of its proper divisors (385540605964800).

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

115697312755200 is a wasteful number, since it uses less digits than its factorization.

115697312755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 115697312755200 in words is "one hundred fifteen trillion, six hundred ninety-seven billion, three hundred twelve million, seven hundred fifty-five thousand, two hundred".