53349580800 has 648 divisors, whose sum is σ = 201145469616. Its totient is φ = 14014218240.

The previous prime is 53349580769. The next prime is 53349580811. The reversal of 53349580800 is 808594335.

It is a happy number.

53349580800 is a `hidden beast` number, since 5 + 3 + 3 + 495 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 796262367 + ... + 796262433.

Almost surely, 2^53349580800 is an apocalyptic number.

53349580800 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 53349580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100572734808).

53349580800 is an abundant number, since it is smaller than the sum of its proper divisors (147795888816).

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

53349580800 is an frugal number, since it uses more digits than its factorization.

53349580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 53349580800 in words is "fifty-three billion, three hundred forty-nine million, five hundred eighty thousand, eight hundred".