501414600960 has 648 divisors, whose sum is σ = 2173350717720. Its totient is φ = 105791422464.

The previous prime is 501414600943. The next prime is 501414600971. The reversal of 501414600960 is 69006414105.

501414600960 is a `hidden beast` number, since 5 + 0 + 1 + 41 + 4 + 600 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81759396096 + 419655204864 = 285936^2 + 647808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7304076 + ... + 7372404.

Almost surely, 2^501414600960 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 501414600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086675358860).

501414600960 is an abundant number, since it is smaller than the sum of its proper divisors (1671936116760).

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

501414600960 is a wasteful number, since it uses less digits than its factorization.

501414600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68383 (or 68359 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 501414600960 in words is "five hundred one billion, four hundred fourteen million, six hundred thousand, nine hundred sixty".