97735208064 has 192 divisors, whose sum is σ = 285686365440. Its totient is φ = 29429213184.

The previous prime is 97735208063. The next prime is 97735208069. The reversal of 97735208064 is 46080253779.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 97735207998 and 97735208016.

It is not an unprimeable number, because it can be changed into a prime (97735208063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11022897 + ... + 11031759.

It is an arithmetic number, because the mean of its divisors is an integer number (1487949820).

Almost surely, 2^97735208064 is an apocalyptic number.

97735208064 is a gapful number since it is divisible by the number (94) 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 97735208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142843182720).

97735208064 is an abundant number, since it is smaller than the sum of its proper divisors (187951157376).

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

97735208064 is a wasteful number, since it uses less digits than its factorization.

97735208064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8987 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 97735208064 in words is "ninety-seven billion, seven hundred thirty-five million, two hundred eight thousand, sixty-four".