53786886400 has 243 divisors, whose sum is σ = 144808901559. Its totient is φ = 19770716160.

The previous prime is 53786886379. The next prime is 53786886401. The reversal of 53786886400 is 468868735.

The square root of 53786886400 is 231920.

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 13863649536 + 39923236864 = 117744^2 + 199808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53786886401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 241196689 + ... + 241196911.

Almost surely, 2^53786886400 is an apocalyptic number.

53786886400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53786886400 is the 231920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53786886400

53786886400 is an abundant number, since it is smaller than the sum of its proper divisors (91022015159).

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

53786886400 is an equidigital number, since it uses as much as digits as its factorization.

53786886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 53786886400 in words is "fifty-three billion, seven hundred eighty-six million, eight hundred eighty-six thousand, four hundred".