97831534080 has 960 divisors, whose sum is σ = 386923806720. Its totient is φ = 20982398976.

The previous prime is 97831534079. The next prime is 97831534111. The reversal of 97831534080 is 8043513879.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 770326977 + ... + 770327103.

It is an arithmetic number, because the mean of its divisors is an integer number (403045632).

Almost surely, 2^97831534080 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 97831534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193461903360).

97831534080 is an abundant number, since it is smaller than the sum of its proper divisors (289092272640).

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

97831534080 is a wasteful number, since it uses less digits than its factorization.

97831534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 97831534080 in words is "ninety-seven billion, eight hundred thirty-one million, five hundred thirty-four thousand, eighty".