501872497920 has 432 divisors, whose sum is σ = 1782513532800. Its totient is φ = 130300821504.

The previous prime is 501872497913. The next prime is 501872497921. The reversal of 501872497920 is 29794278105.

501872497920 is a `hidden beast` number, since 50 + 1 + 87 + 2 + 497 + 9 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501872497921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 172879189 + ... + 172882091.

Almost surely, 2^501872497920 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 501872497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891256766400).

501872497920 is an abundant number, since it is smaller than the sum of its proper divisors (1280641034880).

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

501872497920 is a wasteful number, since it uses less digits than its factorization.

501872497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

It can be divided in two parts, 5018724 and 97920, that added together give a square (5116644 = 2262²).

The spelling of 501872497920 in words is "five hundred one billion, eight hundred seventy-two million, four hundred ninety-seven thousand, nine hundred twenty".