53528428800 has 1512 divisors, whose sum is σ = 249324667200. Its totient is φ = 11048140800.

The previous prime is 53528428799. The next prime is 53528428817. The reversal of 53528428800 is 882482535.

53528428800 is a `hidden beast` number, since 5 + 3 + 528 + 42 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 359251126 + ... + 359251274.

Almost surely, 2^53528428800 is an apocalyptic number.

53528428800 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 53528428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124662333600).

53528428800 is an abundant number, since it is smaller than the sum of its proper divisors (195796238400).

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

53528428800 is a wasteful number, since it uses less digits than its factorization.

53528428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 53528428800 in words is "fifty-three billion, five hundred twenty-eight million, four hundred twenty-eight thousand, eight hundred".