115556822821440 has 3360 divisors, whose sum is σ = 567505817894400. Its totient is φ = 22162062827520.

The previous prime is 115556822821421. The next prime is 115556822821481. The reversal of 115556822821440 is 44128228655511.

115556822821440 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 568 + 2 + 28 + 2 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13984846749 + ... + 13984855011.

It is an arithmetic number, because the mean of its divisors is an integer number (168900541040).

Almost surely, 2^{115556822821440} is an apocalyptic number.

115556822821440 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 115556822821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283752908947200).

115556822821440 is an abundant number, since it is smaller than the sum of its proper divisors (451948995072960).

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

115556822821440 is a wasteful number, since it uses less digits than its factorization.

115556822821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 115556822821440 in words is "one hundred fifteen trillion, five hundred fifty-six billion, eight hundred twenty-two million, eight hundred twenty-one thousand, four hundred forty".