115211998937088 has 720 divisors, whose sum is σ = 369875458330560. Its totient is φ = 35707718467584.

The previous prime is 115211998937081. The next prime is 115211998937089. The reversal of 115211998937088 is 880739899112511.

115211998937088 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 11 + 99 + 89 + 370 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115211998937081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5617620978 + ... + 5617641486.

It is an arithmetic number, because the mean of its divisors is an integer number (513715914348).

Almost surely, 2^{115211998937088} is an apocalyptic number.

115211998937088 is a gapful number since it is divisible by the number (18) 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 115211998937088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184937729165280).

115211998937088 is an abundant number, since it is smaller than the sum of its proper divisors (254663459393472).

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

115211998937088 is an frugal number, since it uses more digits than its factorization.

115211998937088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20652 (or 20614 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 72.

The spelling of 115211998937088 in words is "one hundred fifteen trillion, two hundred eleven billion, nine hundred ninety-eight million, nine hundred thirty-seven thousand, eighty-eight".