505905267763896 has 1152 divisors, whose sum is σ = 1771793727943680. Its totient is φ = 119194225920000.

The previous prime is 505905267763891. The next prime is 505905267763997. The reversal of 505905267763896 is 698367762509505.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505905267763891) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 215187267121 + ... + 215187269471.

It is an arithmetic number, because the mean of its divisors is an integer number (1538015388840).

Almost surely, 2^{505905267763896} is an apocalyptic number.

505905267763896 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 505905267763896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885896863971840).

505905267763896 is an abundant number, since it is smaller than the sum of its proper divisors (1265888460179784).

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

505905267763896 is a wasteful number, since it uses less digits than its factorization.

505905267763896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 5143824000, while the sum is 78.

The spelling of 505905267763896 in words is "five hundred five trillion, nine hundred five billion, two hundred sixty-seven million, seven hundred sixty-three thousand, eight hundred ninety-six".