97654845920 has 384 divisors, whose sum is σ = 258138316800. Its totient is φ = 34797772800.

The previous prime is 97654845901. The next prime is 97654846043. The reversal of 97654845920 is 2954845679.

It is a happy number.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 97654845920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314002565 + ... + 314002875.

It is an arithmetic number, because the mean of its divisors is an integer number (672235200).

Almost surely, 2^97654845920 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 97654845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129069158400).

97654845920 is an abundant number, since it is smaller than the sum of its proper divisors (160483470880).

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

97654845920 is a wasteful number, since it uses less digits than its factorization.

97654845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 59.

The spelling of 97654845920 in words is "ninety-seven billion, six hundred fifty-four million, eight hundred forty-five thousand, nine hundred twenty".