97188284160 has 1080 divisors, whose sum is σ = 391571271168. Its totient is φ = 22992076800.

The previous prime is 97188284159. The next prime is 97188284161. The reversal of 97188284160 is 6148288179.

It is an interprime number because it is at equal distance from previous prime (97188284159) and next prime (97188284161).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97188284097 and 97188284106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97188284161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 765262017 + ... + 765262143.

Almost surely, 2^97188284160 is an apocalyptic number.

97188284160 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 97188284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195785635584).

97188284160 is an abundant number, since it is smaller than the sum of its proper divisors (294382987008).

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

97188284160 is a wasteful number, since it uses less digits than its factorization.

97188284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 97188284160 in words is "ninety-seven billion, one hundred eighty-eight million, two hundred eighty-four thousand, one hundred sixty".