115726490880 has 2592 divisors, whose sum is σ = 562303026432. Its totient is φ = 19983237120.

The previous prime is 115726490851. The next prime is 115726490881. The reversal of 115726490880 is 88094627511.

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 (115726490881) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 5031586549 + ... + 5031586571.

It is an arithmetic number, because the mean of its divisors is an integer number (216937896).

Almost surely, 2^115726490880 is an apocalyptic number.

115726490880 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 115726490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281151513216).

115726490880 is an abundant number, since it is smaller than the sum of its proper divisors (446576535552).

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

115726490880 is a wasteful number, since it uses less digits than its factorization.

115726490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

It can be divided in two parts, 115726 and 490880, that added together give a palindrome (606606).

The spelling of 115726490880 in words is "one hundred fifteen billion, seven hundred twenty-six million, four hundred ninety thousand, eight hundred eighty".