97085830832640 has 1280 divisors, whose sum is σ = 388103669775360. Its totient is φ = 22825268674560.

The previous prime is 97085830832533. The next prime is 97085830832647. The reversal of 97085830832640 is 4623803858079.

97085830832640 is a `hidden beast` number, since 9 + 7 + 0 + 8 + 583 + 0 + 8 + 3 + 2 + 6 + 40 = 666.

97085830832640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (97085830832647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15727492594 + ... + 15727498766.

It is an arithmetic number, because the mean of its divisors is an integer number (303205992012).

Almost surely, 2^{97085830832640} is an apocalyptic number.

97085830832640 is a gapful number since it is divisible by the number (90) 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 97085830832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194051834887680).

97085830832640 is an abundant number, since it is smaller than the sum of its proper divisors (291017838942720).

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

97085830832640 is a wasteful number, since it uses less digits than its factorization.

97085830832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 97085830832640 in words is "ninety-seven trillion, eighty-five billion, eight hundred thirty million, eight hundred thirty-two thousand, six hundred forty".