53351760400 has 45 divisors (see below), whose sum is σ = 128188703911. Its totient is φ = 21338856320.

The previous prime is 53351760389. The next prime is 53351760419. The reversal of 53351760400 is 406715335.

The square root of 53351760400 is 230980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10393394704 + 42958365696 = 101948^2 + 207264^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 4613826 + ... + 4625374.

Almost surely, 2^53351760400 is an apocalyptic number.

53351760400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53351760400 is the 230980-th square number.

It is an amenable number.

53351760400 is an abundant number, since it is smaller than the sum of its proper divisors (74836943511).

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

53351760400 is an frugal number, since it uses more digits than its factorization.

53351760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23116 (or 11556 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 53351760400 in words is "fifty-three billion, three hundred fifty-one million, seven hundred sixty thousand, four hundred".