505636400412 has 288 divisors, whose sum is σ = 1554131726784. Its totient is φ = 136559001600.

The previous prime is 505636400411. The next prime is 505636400471. The reversal of 505636400412 is 214004636505.

505636400412 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 3 + 640 + 0 + 4 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505636400411) 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, 20461248 + ... + 20485944.

It is an arithmetic number, because the mean of its divisors is an integer number (5396290718).

Almost surely, 2^505636400412 is an apocalyptic number.

505636400412 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 505636400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777065863392).

505636400412 is an abundant number, since it is smaller than the sum of its proper divisors (1048495326372).

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

505636400412 is a wasteful number, since it uses less digits than its factorization.

505636400412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24869 (or 24864 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 505636400412 in words is "five hundred five billion, six hundred thirty-six million, four hundred thousand, four hundred twelve".