501007172160 has 224 divisors, whose sum is σ = 1735820150400. Its totient is φ = 121420349440.

The previous prime is 501007172119. The next prime is 501007172161. The reversal of 501007172160 is 61271700105.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (501007172161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59860456 + ... + 59868824.

It is an arithmetic number, because the mean of its divisors is an integer number (7749197100).

Almost surely, 2^501007172160 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 501007172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867910075200).

501007172160 is an abundant number, since it is smaller than the sum of its proper divisors (1234812978240).

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

501007172160 is a wasteful number, since it uses less digits than its factorization.

501007172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14069 (or 14059 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

Adding to 501007172160 its reverse (61271700105), we get a palindrome (562278872265).

The spelling of 501007172160 in words is "five hundred one billion, seven million, one hundred seventy-two thousand, one hundred sixty".