97886728209816 has 384 divisors, whose sum is σ = 332124582666240. Its totient is φ = 25355812838400.

The previous prime is 97886728209799. The next prime is 97886728209817. The reversal of 97886728209816 is 61890282768879.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97886728209817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272796681 + ... + 273155271.

It is an arithmetic number, because the mean of its divisors is an integer number (864907767360).

Almost surely, 2^{97886728209816} 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 97886728209816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166062291333120).

97886728209816 is an abundant number, since it is smaller than the sum of its proper divisors (234237854456424).

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

97886728209816 is a wasteful number, since it uses less digits than its factorization.

97886728209816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359367 (or 359360 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 81.

The spelling of 97886728209816 in words is "ninety-seven trillion, eight hundred eighty-six billion, seven hundred twenty-eight million, two hundred nine thousand, eight hundred sixteen".