505890138072 has 384 divisors, whose sum is σ = 1544601139200. Its totient is φ = 137313792000.

The previous prime is 505890138053. The next prime is 505890138113. The reversal of 505890138072 is 270831098505.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 93352179 + ... + 93357597.

It is an arithmetic number, because the mean of its divisors is an integer number (4022398800).

Almost surely, 2^505890138072 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 505890138072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772300569600).

505890138072 is an abundant number, since it is smaller than the sum of its proper divisors (1038711001128).

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

505890138072 is a wasteful number, since it uses less digits than its factorization.

505890138072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 505890138072 in words is "five hundred five billion, eight hundred ninety million, one hundred thirty-eight thousand, seventy-two".