97985648880 has 360 divisors, whose sum is σ = 390945102912. Its totient is φ = 21919822848.

The previous prime is 97985648867. The next prime is 97985648911. The reversal of 97985648880 is 8884658979.

97985648880 is a `hidden beast` number, since 9 + 7 + 98 + 56 + 488 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 97985648799 and 97985648808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1628614 + ... + 1687706.

Almost surely, 2^97985648880 is an apocalyptic number.

97985648880 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 97985648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195472551456).

97985648880 is an abundant number, since it is smaller than the sum of its proper divisors (292959454032).

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

97985648880 is a wasteful number, since it uses less digits than its factorization.

97985648880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59173 (or 59157 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 97985648880 in words is "ninety-seven billion, nine hundred eighty-five million, six hundred forty-eight thousand, eight hundred eighty".