97086720000 has 480 divisors, whose sum is σ = 327597510240. Its totient is φ = 25559040000.

The previous prime is 97086719981. The next prime is 97086720001. The reversal of 97086720000 is 2768079.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (97086720001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 503039904 + ... + 503040096.

It is an arithmetic number, because the mean of its divisors is an integer number (682494813).

Almost surely, 2^97086720000 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 97086720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163798755120).

97086720000 is an abundant number, since it is smaller than the sum of its proper divisors (230510790240).

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

97086720000 is a wasteful number, since it uses less digits than its factorization.

97086720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 97086720000 in words is "ninety-seven billion, eighty-six million, seven hundred twenty thousand".