501957471960 has 384 divisors, whose sum is σ = 1965657585600. Its totient is φ = 113595955200.

The previous prime is 501957471949. The next prime is 501957471991. The reversal of 501957471960 is 69174759105.

501957471960 is a `hidden beast` number, since 5 + 0 + 1 + 9 + 574 + 7 + 1 + 9 + 60 = 666.

It is a super-2 number, since 2×501957471960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 501957471897 and 501957471906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5297964 + ... + 5391876.

Almost surely, 2^501957471960 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 501957471960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982828792800).

501957471960 is an abundant number, since it is smaller than the sum of its proper divisors (1463700113640).

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

501957471960 is a wasteful number, since it uses less digits than its factorization.

501957471960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94048 (or 94031 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 501957471960 in words is "five hundred one billion, nine hundred fifty-seven million, four hundred seventy-one thousand, nine hundred sixty".