97168246560 has 1296 divisors, whose sum is σ = 447036408000. Its totient is φ = 19096197120.

The previous prime is 97168246411. The next prime is 97168246561. The reversal of 97168246560 is 6564286179.

97168246560 is a `hidden beast` number, since 9 + 71 + 6 + 8 + 2 + 4 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97168246497 and 97168246506.

It is not an unprimeable number, because it can be changed into a prime (97168246561) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 162217141 + ... + 162217739.

It is an arithmetic number, because the mean of its divisors is an integer number (344935500).

Almost surely, 2^97168246560 is an apocalyptic number.

97168246560 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 97168246560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223518204000).

97168246560 is an abundant number, since it is smaller than the sum of its proper divisors (349868161440).

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

97168246560 is a wasteful number, since it uses less digits than its factorization.

97168246560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 97168246560 in words is "ninety-seven billion, one hundred sixty-eight million, two hundred forty-six thousand, five hundred sixty".