501146779920 has 160 divisors (see below), whose sum is σ = 1575947049600. Its totient is φ = 131725688832.

The previous prime is 501146779901. The next prime is 501146779957. The reversal of 501146779920 is 29977641105.

It is a super-2 number, since 2×501146779920² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4999251 + ... + 5098509.

It is an arithmetic number, because the mean of its divisors is an integer number (9849669060).

Almost surely, 2^501146779920 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 501146779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787973524800).

501146779920 is an abundant number, since it is smaller than the sum of its proper divisors (1074800269680).

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

501146779920 is a wasteful number, since it uses less digits than its factorization.

501146779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99577 (or 99571 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 501146779920 in words is "five hundred one billion, one hundred forty-six million, seven hundred seventy-nine thousand, nine hundred twenty".