115226167921020 has 288 divisors, whose sum is σ = 382067111200320. Its totient is φ = 27936839208960.

The previous prime is 115226167920991. The next prime is 115226167921021. The reversal of 115226167921020 is 20129761622511.

115226167921020 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 2 + 616 + 7 + 9 + 2 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115226167921021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1556631610 + ... + 1556705630.

It is an arithmetic number, because the mean of its divisors is an integer number (1326621913890).

Almost surely, 2^{115226167921020} is an apocalyptic number.

115226167921020 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 115226167921020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191033555600160).

115226167921020 is an abundant number, since it is smaller than the sum of its proper divisors (266840943279300).

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

115226167921020 is a wasteful number, since it uses less digits than its factorization.

115226167921020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84045 (or 84040 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 115226167921020 in words is "one hundred fifteen trillion, two hundred twenty-six billion, one hundred sixty-seven million, nine hundred twenty-one thousand, twenty".