53281850400 has 432 divisors, whose sum is σ = 194083265376. Its totient is φ = 13746216960.

The previous prime is 53281850371. The next prime is 53281850417. The reversal of 53281850400 is 405818235.

It is a happy number.

53281850400 is a `hidden beast` number, since 53 + 28 + 185 + 0 + 400 = 666.

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 71 ways as a sum of consecutive naturals, for example, 34984039 + ... + 34985561.

It is an arithmetic number, because the mean of its divisors is an integer number (449266818).

Almost surely, 2^53281850400 is an apocalyptic number.

53281850400 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 53281850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97041632688).

53281850400 is an abundant number, since it is smaller than the sum of its proper divisors (140801414976).

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

53281850400 is a wasteful number, since it uses less digits than its factorization.

53281850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 53281850400 in words is "fifty-three billion, two hundred eighty-one million, eight hundred fifty thousand, four hundred".