172474868160 has 1792 divisors, whose sum is σ = 791797248000. Its totient is φ = 34828517376.

The previous prime is 172474868147. The next prime is 172474868191. The reversal of 172474868160 is 61868474271.

172474868160 is a `hidden beast` number, since 1 + 7 + 2 + 474 + 8 + 6 + 8 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 172474868097 and 172474868106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1582338186 + ... + 1582338294.

Almost surely, 2^172474868160 is an apocalyptic number.

172474868160 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 172474868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395898624000).

172474868160 is an abundant number, since it is smaller than the sum of its proper divisors (619322379840).

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

172474868160 is a wasteful number, since it uses less digits than its factorization.

172474868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 172474868160 in words is "one hundred seventy-two billion, four hundred seventy-four million, eight hundred sixty-eight thousand, one hundred sixty".