506906264392080 has 480 divisors, whose sum is σ = 1871339376614400. Its totient is φ = 113117588204544.

The previous prime is 506906264392051. The next prime is 506906264392081. The reversal of 506906264392080 is 80293462609605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (506906264392081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1101646701 + ... + 1102106739.

It is an arithmetic number, because the mean of its divisors is an integer number (3898623701280).

Almost surely, 2^{506906264392080} 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 506906264392080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935669688307200).

506906264392080 is an abundant number, since it is smaller than the sum of its proper divisors (1364433112222320).

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

506906264392080 is a wasteful number, since it uses less digits than its factorization.

506906264392080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462291 (or 462278 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 506906264392080 in words is "five hundred six trillion, nine hundred six billion, two hundred sixty-four million, three hundred ninety-two thousand, eighty".