115634694389760 has 1728 divisors, whose sum is σ = 515109736713600. Its totient is φ = 24395271634944.

The previous prime is 115634694389729. The next prime is 115634694389807. The reversal of 115634694389760 is 67983496436511.

115634694389760 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 3 + 46 + 9 + 438 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×115634694389760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11271531511 + ... + 11271541769.

It is an arithmetic number, because the mean of its divisors is an integer number (298095912450).

Almost surely, 2^{115634694389760} is an apocalyptic number.

115634694389760 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 115634694389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257554868356800).

115634694389760 is an abundant number, since it is smaller than the sum of its proper divisors (399475042323840).

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

115634694389760 is an equidigital number, since it uses as much as digits as its factorization.

115634694389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10334 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 115634694389760 in words is "one hundred fifteen trillion, six hundred thirty-four billion, six hundred ninety-four million, three hundred eighty-nine thousand, seven hundred sixty".