97817411160 has 960 divisors, whose sum is σ = 407002337280. Its totient is φ = 20617597440.

The previous prime is 97817411149. The next prime is 97817411177. The reversal of 97817411160 is 6111471879.

97817411160 is a `hidden beast` number, since 9 + 78 + 1 + 7 + 411 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 371929189 + ... + 371929451.

It is an arithmetic number, because the mean of its divisors is an integer number (423960768).

Almost surely, 2^97817411160 is an apocalyptic number.

97817411160 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 97817411160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203501168640).

97817411160 is an abundant number, since it is smaller than the sum of its proper divisors (309184926120).

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

97817411160 is a wasteful number, since it uses less digits than its factorization.

97817411160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 97817411160 in words is "ninety-seven billion, eight hundred seventeen million, four hundred eleven thousand, one hundred sixty".