53582284800 has 972 divisors, whose sum is σ = 217951489665. Its totient is φ = 12570624000.

The previous prime is 53582284787. The next prime is 53582284801. The reversal of 53582284800 is 848228535.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

53582284800 is a `hidden beast` number, since 5 + 3 + 582 + 28 + 48 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52510639104 + 1071645696 = 229152^2 + 32736^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=163680.

It is a super-2 number, since 2×53582284800² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53582284801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1728460785 + ... + 1728460815.

Almost surely, 2^53582284800 is an apocalyptic number.

53582284800 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 53582284800

53582284800 is an abundant number, since it is smaller than the sum of its proper divisors (164369204865).

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

53582284800 is a wasteful number, since it uses less digits than its factorization.

53582284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 52 counting only the distinct ones).

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

The spelling of 53582284800 in words is "fifty-three billion, five hundred eighty-two million, two hundred eighty-four thousand, eight hundred".