53018128800 has 1440 divisors, whose sum is σ = 245402543232. Its totient is φ = 10883911680.

The previous prime is 53018128783. The next prime is 53018128819. The reversal of 53018128800 is 882181035.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1432922382 + ... + 1432922418.

Almost surely, 2^53018128800 is an apocalyptic number.

53018128800 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 53018128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122701271616).

53018128800 is an abundant number, since it is smaller than the sum of its proper divisors (192384414432).

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

53018128800 is an equidigital number, since it uses as much as digits as its factorization.

53018128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 53018128800 in words is "fifty-three billion, eighteen million, one hundred twenty-eight thousand, eight hundred".