53487820800 has 672 divisors, whose sum is σ = 208431079200. Its totient is φ = 13400801280.

The previous prime is 53487820723. The next prime is 53487820831. The reversal of 53487820800 is 802878435.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 94002916 + ... + 94003484.

Almost surely, 2^53487820800 is an apocalyptic number.

53487820800 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 53487820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104215539600).

53487820800 is an abundant number, since it is smaller than the sum of its proper divisors (154943258400).

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

53487820800 is a wasteful number, since it uses less digits than its factorization.

53487820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 53487820800 in words is "fifty-three billion, four hundred eighty-seven million, eight hundred twenty thousand, eight hundred".