97688129880 has 512 divisors, whose sum is σ = 344103552000. Its totient is φ = 21937029120.

The previous prime is 97688129879. The next prime is 97688129927. The reversal of 97688129880 is 8892188679.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 419262244 + ... + 419262476.

It is an arithmetic number, because the mean of its divisors is an integer number (672077250).

Almost surely, 2^97688129880 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 97688129880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172051776000).

97688129880 is an abundant number, since it is smaller than the sum of its proper divisors (246415422120).

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

97688129880 is a wasteful number, since it uses less digits than its factorization.

97688129880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 66.

The spelling of 97688129880 in words is "ninety-seven billion, six hundred eighty-eight million, one hundred twenty-nine thousand, eight hundred eighty".