505739106000 has 320 divisors, whose sum is σ = 1837200268800. Its totient is φ = 132963264000.

The previous prime is 505739105983. The next prime is 505739106023. The reversal of 505739106000 is 601937505.

It is a happy number.

505739106000 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 39 + 10 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3768046 + ... + 3899954.

It is an arithmetic number, because the mean of its divisors is an integer number (5741250840).

Almost surely, 2^505739106000 is an apocalyptic number.

505739106000 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 505739106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918600134400).

505739106000 is an abundant number, since it is smaller than the sum of its proper divisors (1331461162800).

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

505739106000 is a wasteful number, since it uses less digits than its factorization.

505739106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132012 (or 131990 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 505739106000 in words is "five hundred five billion, seven hundred thirty-nine million, one hundred six thousand".