501960060000 has 1440 divisors, whose sum is σ = 2145748340736. Its totient is φ = 108864000000.

The previous prime is 501960059989. The next prime is 501960060083. The reversal of 501960060000 is 60069105.

501960060000 is a `hidden beast` number, since 50 + 1 + 9 + 6 + 0 + 0 + 600 + 0 + 0 = 666.

501960060000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2773259910 + ... + 2773260090.

Almost surely, 2^501960060000 is an apocalyptic number.

501960060000 is a gapful number since it is divisible by the number (50) 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 501960060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072874170368).

501960060000 is an abundant number, since it is smaller than the sum of its proper divisors (1643788280736).

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

501960060000 is a wasteful number, since it uses less digits than its factorization.

501960060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 501960060000 in words is "five hundred one billion, nine hundred sixty million, sixty thousand".