115541681772000 has 2304 divisors, whose sum is σ = 458895389831424. Its totient is φ = 25283985408000.

The previous prime is 115541681771977. The next prime is 115541681772059. The reversal of 115541681772000 is 277186145511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 66671483134 + ... + 66671484866.

It is an arithmetic number, because the mean of its divisors is an integer number (199173346281).

Almost surely, 2^{115541681772000} is an apocalyptic number.

115541681772000 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 115541681772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229447694915712).

115541681772000 is an abundant number, since it is smaller than the sum of its proper divisors (343353708059424).

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

115541681772000 is a wasteful number, since it uses less digits than its factorization.

115541681772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 115541681772000 in words is "one hundred fifteen trillion, five hundred forty-one billion, six hundred eighty-one million, seven hundred seventy-two thousand".