53616880800 has 1296 divisors, whose sum is σ = 237187694016. Its totient is φ = 11570688000.

The previous prime is 53616880783. The next prime is 53616880847. The reversal of 53616880800 is 808861635.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1307728780 + ... + 1307728820.

It is an arithmetic number, because the mean of its divisors is an integer number (183015196).

Almost surely, 2^53616880800 is an apocalyptic number.

53616880800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53616880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118593847008).

53616880800 is an abundant number, since it is smaller than the sum of its proper divisors (183570813216).

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

53616880800 is a wasteful number, since it uses less digits than its factorization.

53616880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 53616880800 in words is "fifty-three billion, six hundred sixteen million, eight hundred eighty thousand, eight hundred".