97808336272080 has 1280 divisors, whose sum is σ = 402082607923200. Its totient is φ = 21383885537280.

The previous prime is 97808336272057. The next prime is 97808336272099. The reversal of 97808336272080 is 8027263380879.

97808336272080 is a `hidden beast` number, since 9 + 78 + 0 + 8 + 336 + 27 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 97808336271999 and 97808336272017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15347295774 + ... + 15347302146.

It is an arithmetic number, because the mean of its divisors is an integer number (314127037440).

Almost surely, 2^{97808336272080} is an apocalyptic number.

97808336272080 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 97808336272080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201041303961600).

97808336272080 is an abundant number, since it is smaller than the sum of its proper divisors (304274271651120).

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

97808336272080 is a wasteful number, since it uses less digits than its factorization.

97808336272080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 97808336272080 in words is "ninety-seven trillion, eight hundred eight billion, three hundred thirty-six million, two hundred seventy-two thousand, eighty".