172097858304 has 288 divisors, whose sum is σ = 537899040000. Its totient is φ = 54124609536.

The previous prime is 172097858297. The next prime is 172097858311. The reversal of 172097858304 is 403858790271.

It is a happy number.

172097858304 is a `hidden beast` number, since 17 + 209 + 78 + 58 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (172097858297) and next prime (172097858311).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33748747 + ... + 33753845.

It is an arithmetic number, because the mean of its divisors is an integer number (1867705000).

Almost surely, 2^172097858304 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 172097858304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268949520000).

172097858304 is an abundant number, since it is smaller than the sum of its proper divisors (365801181696).

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

172097858304 is a wasteful number, since it uses less digits than its factorization.

172097858304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 172097858304 in words is "one hundred seventy-two billion, ninety-seven million, eight hundred fifty-eight thousand, three hundred four".