172058796000 has 2304 divisors, whose sum is σ = 816900215040. Its totient is φ = 34836480000.

The previous prime is 172058795969. The next prime is 172058796043. The reversal of 172058796000 is 697850271.

172058796000 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 587 + 9 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2820635970 + ... + 2820636030.

It is an arithmetic number, because the mean of its divisors is an integer number (354557385).

Almost surely, 2^172058796000 is an apocalyptic number.

172058796000 is a gapful number since it is divisible by the number (10) 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 172058796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408450107520).

172058796000 is an abundant number, since it is smaller than the sum of its proper divisors (644841419040).

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

172058796000 is a wasteful number, since it uses less digits than its factorization.

172058796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 172058796000 in words is "one hundred seventy-two billion, fifty-eight million, seven hundred ninety-six thousand".