115526590872000 has 5376 divisors, whose sum is σ = 552949483806720. Its totient is φ = 20874018816000.

The previous prime is 115526590871977. The next prime is 115526590872001. The reversal of 115526590872000 is 278095625511.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115526590872001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 179668103679 + ... + 179668104321.

It is an arithmetic number, because the mean of its divisors is an integer number (102855186720).

Almost surely, 2^{115526590872000} is an apocalyptic number.

115526590872000 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 115526590872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276474741903360).

115526590872000 is an abundant number, since it is smaller than the sum of its proper divisors (437422892934720).

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

115526590872000 is a wasteful number, since it uses less digits than its factorization.

115526590872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 115526590872000 in words is "one hundred fifteen trillion, five hundred twenty-six billion, five hundred ninety million, eight hundred seventy-two thousand".