501406215452120 has 256 divisors, whose sum is σ = 1240220153364480. Its totient is φ = 180926559014400.

The previous prime is 501406215452057. The next prime is 501406215452123. The reversal of 501406215452120 is 21254512604105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501406215452123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249331781915 + ... + 249331783925.

It is an arithmetic number, because the mean of its divisors is an integer number (4844609974080).

Almost surely, 2^{501406215452120} 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 501406215452120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620110076682240).

501406215452120 is an abundant number, since it is smaller than the sum of its proper divisors (738813937912360).

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

501406215452120 is a wasteful number, since it uses less digits than its factorization.

501406215452120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The spelling of 501406215452120 in words is "five hundred one trillion, four hundred six billion, two hundred fifteen million, four hundred fifty-two thousand, one hundred twenty".