97085795040 has 864 divisors, whose sum is σ = 392624983296. Its totient is φ = 21737963520.

The previous prime is 97085795021. The next prime is 97085795063. The reversal of 97085795040 is 4059758079.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128250342 + ... + 128251098.

It is an arithmetic number, because the mean of its divisors is an integer number (454427064).

Almost surely, 2^97085795040 is an apocalyptic number.

97085795040 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 97085795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196312491648).

97085795040 is an abundant number, since it is smaller than the sum of its proper divisors (295539188256).

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

97085795040 is a wasteful number, since it uses less digits than its factorization.

97085795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 97085795040 in words is "ninety-seven billion, eighty-five million, seven hundred ninety-five thousand, forty".