97691540967776 has 192 divisors, whose sum is σ = 226049705247744. Its totient is φ = 40681605888000.

The previous prime is 97691540967773. The next prime is 97691540967791. The reversal of 97691540967776 is 67776904519679.

It is a junction number, because it is equal to n+sod(n) for n = 97691540967694 and 97691540967703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97691540967773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32881701971 + ... + 32881704941.

It is an arithmetic number, because the mean of its divisors is an integer number (1177342214832).

Almost surely, 2^{97691540967776} 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 97691540967776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113024852623872).

97691540967776 is an abundant number, since it is smaller than the sum of its proper divisors (128358164279968).

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

97691540967776 is a wasteful number, since it uses less digits than its factorization.

97691540967776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 7561421280, while the sum is 83.

The spelling of 97691540967776 in words is "ninety-seven trillion, six hundred ninety-one billion, five hundred forty million, nine hundred sixty-seven thousand, seven hundred seventy-six".