505265432400 has 90 divisors (see below), whose sum is σ = 1753411414430. Its totient is φ = 134737447680.

The previous prime is 505265432363. The next prime is 505265432401. The reversal of 505265432400 is 4234562505.

505265432400 is a `hidden beast` number, since 50 + 5 + 26 + 543 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 181486224144 + 323779208256 = 426012^2 + 569016^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 (505265432401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70172155 + ... + 70179354.

Almost surely, 2^505265432400 is an apocalyptic number.

505265432400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505265432400 is an abundant number, since it is smaller than the sum of its proper divisors (1248145982030).

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

505265432400 is a wasteful number, since it uses less digits than its factorization.

505265432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140351533 (or 140351519 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 505265432400 its reverse (4234562505), we get a palindrome (509499994905).

The spelling of 505265432400 in words is "five hundred five billion, two hundred sixty-five million, four hundred thirty-two thousand, four hundred".