506052826398 has 240 divisors, whose sum is σ = 1372285054800. Its totient is φ = 138809583360.

The previous prime is 506052826393. The next prime is 506052826507. The reversal of 506052826398 is 893628250605.

506052826398 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 528 + 26 + 3 + 98 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506052826393) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41200018 + ... + 41212298.

It is an arithmetic number, because the mean of its divisors is an integer number (5717854395).

Almost surely, 2^506052826398 is an apocalyptic number.

506052826398 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 506052826398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686142527400).

506052826398 is an abundant number, since it is smaller than the sum of its proper divisors (866232228402).

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

506052826398 is a wasteful number, since it uses less digits than its factorization.

506052826398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12501 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 506052826398 in words is "five hundred six billion, fifty-two million, eight hundred twenty-six thousand, three hundred ninety-eight".