97537424345088 has 864 divisors, whose sum is σ = 329297370554880. Its totient is φ = 25586924912640.

The previous prime is 97537424345069. The next prime is 97537424345131. The reversal of 97537424345088 is 88054342473579.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9717781606 + ... + 9717791642.

It is an arithmetic number, because the mean of its divisors is an integer number (381131215920).

Almost surely, 2^{97537424345088} is an apocalyptic number.

97537424345088 is a gapful number since it is divisible by the number (98) 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 97537424345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164648685277440).

97537424345088 is an abundant number, since it is smaller than the sum of its proper divisors (231759946209792).

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

97537424345088 is a wasteful number, since it uses less digits than its factorization.

97537424345088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10293 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 69.

The spelling of 97537424345088 in words is "ninety-seven trillion, five hundred thirty-seven billion, four hundred twenty-four million, three hundred forty-five thousand, eighty-eight".