97198083360 has 576 divisors, whose sum is σ = 390281359104. Its totient is φ = 21565440000.

The previous prime is 97198083341. The next prime is 97198083371. The reversal of 97198083360 is 6338089179.

97198083360 is a `hidden beast` number, since 97 + 198 + 0 + 8 + 3 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97198083297 and 97198083306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103732812 + ... + 103733748.

It is an arithmetic number, because the mean of its divisors is an integer number (677571804).

Almost surely, 2^97198083360 is an apocalyptic number.

97198083360 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 97198083360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195140679552).

97198083360 is an abundant number, since it is smaller than the sum of its proper divisors (293083275744).

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

97198083360 is a wasteful number, since it uses less digits than its factorization.

97198083360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 97198083360 in words is "ninety-seven billion, one hundred ninety-eight million, eighty-three thousand, three hundred sixty".