500390049600000 has 7680 divisors, whose sum is σ = 2430492438528000. Its totient is φ = 98895790080000.

The previous prime is 500390049599963. The next prime is 500390049600011. The reversal of 500390049600000 is 6940093005.

500390049600000 is a `hidden beast` number, since 5 + 0 + 0 + 3 + 9 + 0 + 0 + 49 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4590734399946 + ... + 4590734400054.

It is an arithmetic number, because the mean of its divisors is an integer number (316470369600).

Almost surely, 2^{500390049600000} is an apocalyptic number.

500390049600000 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 500390049600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215246219264000).

500390049600000 is an abundant number, since it is smaller than the sum of its proper divisors (1930102388928000).

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

500390049600000 is a wasteful number, since it uses less digits than its factorization.

500390049600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 500390049600000 its reverse (6940093005), we get a palindrome (500396989693005).

The spelling of 500390049600000 in words is "five hundred trillion, three hundred ninety billion, forty-nine million, six hundred thousand".