505756451772 has 240 divisors, whose sum is σ = 1644664567392. Its totient is φ = 133148344320.

The previous prime is 505756451771. The next prime is 505756451773. The reversal of 505756451772 is 277154657505.

505756451772 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 56 + 4 + 517 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (505756451771) and next prime (505756451773).

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 (505756451771) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 466588 + ... + 1108700.

Almost surely, 2^505756451772 is an apocalyptic number.

505756451772 is a gapful number since it is divisible by the number (52) 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 505756451772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822332283696).

505756451772 is an abundant number, since it is smaller than the sum of its proper divisors (1138908115620).

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

505756451772 is a wasteful number, since it uses less digits than its factorization.

505756451772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642170 (or 642159 counting only the distinct ones).

The product of its (nonzero) digits is 10290000, while the sum is 54.

The spelling of 505756451772 in words is "five hundred five billion, seven hundred fifty-six million, four hundred fifty-one thousand, seven hundred seventy-two".