97209173350872 has 1024 divisors, whose sum is σ = 327064780800000. Its totient is φ = 26440888320000.

The previous prime is 97209173350823. The next prime is 97209173350897. The reversal of 97209173350872 is 27805337190279.

97209173350872 is a `hidden beast` number, since 9 + 7 + 2 + 0 + 91 + 7 + 33 + 508 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7337088504 + ... + 7337101752.

It is an arithmetic number, because the mean of its divisors is an integer number (319399200000).

Almost surely, 2^{97209173350872} is an apocalyptic number.

97209173350872 is a gapful number since it is divisible by the number (92) 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 97209173350872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163532390400000).

97209173350872 is an abundant number, since it is smaller than the sum of its proper divisors (229855607449128).

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

97209173350872 is a wasteful number, since it uses less digits than its factorization.

97209173350872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13461 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 97209173350872 in words is "ninety-seven trillion, two hundred nine billion, one hundred seventy-three million, three hundred fifty thousand, eight hundred seventy-two".