53664448800 has 72 divisors (see below), whose sum is σ = 174677788656. Its totient is φ = 14310519040.

The previous prime is 53664448763. The next prime is 53664448807. The reversal of 53664448800 is 884446635.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53664448800.

It is not an unprimeable number, because it can be changed into a prime (53664448807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11177694 + ... + 11182493.

It is an arithmetic number, because the mean of its divisors is an integer number (2426080398).

Almost surely, 2^53664448800 is an apocalyptic number.

53664448800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53664448800 is an abundant number, since it is smaller than the sum of its proper divisors (121013339856).

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

53664448800 is a wasteful number, since it uses less digits than its factorization.

53664448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22360210 (or 22360197 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 53664448800 in words is "fifty-three billion, six hundred sixty-four million, four hundred forty-eight thousand, eight hundred".