506153926656 has 352 divisors, whose sum is σ = 1715302154880. Its totient is φ = 144502161408.

The previous prime is 506153926601. The next prime is 506153926697. The reversal of 506153926656 is 656629351605.

506153926656 is a `hidden beast` number, since 50 + 6 + 1 + 539 + 2 + 6 + 6 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396361090 + ... + 396362366.

Almost surely, 2^506153926656 is an apocalyptic number.

506153926656 is a gapful number since it is divisible by the number (56) 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 506153926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857651077440).

506153926656 is an abundant number, since it is smaller than the sum of its proper divisors (1209148228224).

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

506153926656 is an frugal number, since it uses more digits than its factorization.

506153926656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

It can be divided in two parts, 506153 and 926656, that added together give a square (1432809 = 1197²).

The spelling of 506153926656 in words is "five hundred six billion, one hundred fifty-three million, nine hundred twenty-six thousand, six hundred fifty-six".