115535657263104 has 896 divisors, whose sum is σ = 376679194214400. Its totient is φ = 34777981255680.

The previous prime is 115535657263097. The next prime is 115535657263111. The reversal of 115535657263104 is 401362756535511.

It is a happy number.

115535657263104 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 3 + 5 + 6 + 572 + 63 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (115535657263097) and next prime (115535657263111).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65682578577 + ... + 65682580335.

It is an arithmetic number, because the mean of its divisors is an integer number (420400886400).

Almost surely, 2^{115535657263104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115535657263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188339597107200).

115535657263104 is an abundant number, since it is smaller than the sum of its proper divisors (261143536951296).

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

115535657263104 is a wasteful number, since it uses less digits than its factorization.

115535657263104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 115535657263104 in words is "one hundred fifteen trillion, five hundred thirty-five billion, six hundred fifty-seven million, two hundred sixty-three thousand, one hundred four".