115366901760 has 576 divisors, whose sum is σ = 450383431680. Its totient is φ = 27058176000.

The previous prime is 115366901753. The next prime is 115366901761. The reversal of 115366901760 is 67109663511.

115366901760 is a `hidden beast` number, since 11 + 536 + 6 + 90 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115366901761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31424725 + ... + 31428395.

It is an arithmetic number, because the mean of its divisors is an integer number (781915680).

Almost surely, 2^115366901760 is an apocalyptic number.

115366901760 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 115366901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225191715840).

115366901760 is an abundant number, since it is smaller than the sum of its proper divisors (335016529920).

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

115366901760 is a wasteful number, since it uses less digits than its factorization.

115366901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 115366901760 in words is "one hundred fifteen billion, three hundred sixty-six million, nine hundred one thousand, seven hundred sixty".