500164156734000 has 640 divisors, whose sum is σ = 1850732079565824. Its totient is φ = 115097379840000.

The previous prime is 500164156733993. The next prime is 500164156734019. The reversal of 500164156734000 is 437651461005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97624227 + ... + 102619773.

Almost surely, 2^{500164156734000} is an apocalyptic number.

500164156734000 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 500164156734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925366039782912).

500164156734000 is an abundant number, since it is smaller than the sum of its proper divisors (1350567922831824).

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

500164156734000 is a wasteful number, since it uses less digits than its factorization.

500164156734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995662 (or 4995646 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 500164156734000 in words is "five hundred trillion, one hundred sixty-four billion, one hundred fifty-six million, seven hundred thirty-four thousand".