53820873600 has 192 divisors, whose sum is σ = 190909291440. Its totient is φ = 13248184320.

The previous prime is 53820873451. The next prime is 53820873643. The reversal of 53820873600 is 637802835.

53820873600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90829 + ... + 340428.

Almost surely, 2^53820873600 is an apocalyptic number.

53820873600 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 53820873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95454645720).

53820873600 is an abundant number, since it is smaller than the sum of its proper divisors (137088417840).

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

53820873600 is a wasteful number, since it uses less digits than its factorization.

53820873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431297 (or 431280 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 53820873600 in words is "fifty-three billion, eight hundred twenty million, eight hundred seventy-three thousand, six hundred".