53888979600 has 405 divisors, whose sum is σ = 193251580977. Its totient is φ = 13906114560.

The previous prime is 53888979587. The next prime is 53888979607. The reversal of 53888979600 is 697988835.

The square root of 53888979600 is 232140.

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

53888979600 is a `hidden beast` number, since 538 + 8 + 8 + 9 + 7 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 18737229456 + 35151750144 = 136884^2 + 187488^2 .

It is not an unprimeable number, because it can be changed into a prime (53888979607) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 738205164 + ... + 738205236.

Almost surely, 2^53888979600 is an apocalyptic number.

53888979600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53888979600 is the 232140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53888979600

53888979600 is an abundant number, since it is smaller than the sum of its proper divisors (139362601377).

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

53888979600 is a wasteful number, since it uses less digits than its factorization.

53888979600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 53888979600 in words is "fifty-three billion, eight hundred eighty-eight million, nine hundred seventy-nine thousand, six hundred".