97589221350880 has 384 divisors, whose sum is σ = 267543469670400. Its totient is φ = 32949606850560.

The previous prime is 97589221350833. The next prime is 97589221350883. The reversal of 97589221350880 is 8805312298579.

It is a super-2 number, since 2×97589221350880² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97589221350883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9785337574 + ... + 9785347546.

It is an arithmetic number, because the mean of its divisors is an integer number (696727785600).

Almost surely, 2^{97589221350880} 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 97589221350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133771734835200).

97589221350880 is an abundant number, since it is smaller than the sum of its proper divisors (169954248319520).

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

97589221350880 is a wasteful number, since it uses less digits than its factorization.

97589221350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10642 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 67.

The spelling of 97589221350880 in words is "ninety-seven trillion, five hundred eighty-nine billion, two hundred twenty-one million, three hundred fifty thousand, eight hundred eighty".