97855079181120 has 1344 divisors, whose sum is σ = 368326908069120. Its totient is φ = 23794709299200.

The previous prime is 97855079181007. The next prime is 97855079181121. The reversal of 97855079181120 is 2118197055879.

97855079181120 is a `hidden beast` number, since 9 + 7 + 8 + 5 + 507 + 9 + 1 + 8 + 112 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97855079181121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11459777811 + ... + 11459786349.

It is an arithmetic number, because the mean of its divisors is an integer number (274052758980).

Almost surely, 2^{97855079181120} is an apocalyptic number.

97855079181120 is a gapful number since it is divisible by the number (90) 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 97855079181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184163454034560).

97855079181120 is an abundant number, since it is smaller than the sum of its proper divisors (270471828888000).

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

97855079181120 is a wasteful number, since it uses less digits than its factorization.

97855079181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8731 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 63.

The spelling of 97855079181120 in words is "ninety-seven trillion, eight hundred fifty-five billion, seventy-nine million, one hundred eighty-one thousand, one hundred twenty".