97131446880 has 768 divisors, whose sum is σ = 358922575872. Its totient is φ = 21897216000.

The previous prime is 97131446821. The next prime is 97131446927. The reversal of 97131446880 is 8864413179.

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 127 ways as a sum of consecutive naturals, for example, 293448315 + ... + 293448645.

It is an arithmetic number, because the mean of its divisors is an integer number (467347104).

Almost surely, 2^97131446880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97131446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179461287936).

97131446880 is an abundant number, since it is smaller than the sum of its proper divisors (261791128992).

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

97131446880 is a wasteful number, since it uses less digits than its factorization.

97131446880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 97131446880 in words is "ninety-seven billion, one hundred thirty-one million, four hundred forty-six thousand, eight hundred eighty".