475125168000 has 768 divisors, whose sum is σ = 1912067389440. Its totient is φ = 103866470400.

The previous prime is 475125167999. The next prime is 475125168019. The reversal of 475125168000 is 861521574.

It is a self number, because there is not a number n which added to its sum of digits gives 475125168000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54091609 + ... + 54100391.

It is an arithmetic number, because the mean of its divisors is an integer number (2489671080).

Almost surely, 2^475125168000 is an apocalyptic number.

475125168000 is a gapful number since it is divisible by the number (40) 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 475125168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956033694720).

475125168000 is an abundant number, since it is smaller than the sum of its proper divisors (1436942221440).

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

475125168000 is a wasteful number, since it uses less digits than its factorization.

475125168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

Adding to 475125168000 its reverse (861521574), we get a palindrome (475986689574).

The spelling of 475125168000 in words is "four hundred seventy-five billion, one hundred twenty-five million, one hundred sixty-eight thousand".