501472025347072 has 352 divisors, whose sum is σ = 1116098500220928. Its totient is φ = 223750067748864.

The previous prime is 501472025347057. The next prime is 501472025347133. The reversal of 501472025347072 is 270743520274105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23230267863 + ... + 23230289449.

Almost surely, 2^{501472025347072} is an apocalyptic number.

501472025347072 is a gapful number since it is divisible by the number (52) 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 501472025347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558049250110464).

501472025347072 is an abundant number, since it is smaller than the sum of its proper divisors (614626474873856).

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

501472025347072 is a wasteful number, since it uses less digits than its factorization.

501472025347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22121 (or 22103 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 49.

The spelling of 501472025347072 in words is "five hundred one trillion, four hundred seventy-two billion, twenty-five million, three hundred forty-seven thousand, seventy-two".