53532416332800 has 792 divisors, whose sum is σ = 201288243811200. Its totient is φ = 14094481489920.

The previous prime is 53532416332793. The next prime is 53532416332807. The reversal of 53532416332800 is 823361423535.

53532416332800 is a `hidden beast` number, since 5 + 3 + 5 + 3 + 2 + 4 + 1 + 633 + 2 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53532416332793) and next prime (53532416332807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53532416332807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 491388736 + ... + 491497664.

Almost surely, 2^{53532416332800} is an apocalyptic number.

53532416332800 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 53532416332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100644121905600).

53532416332800 is an abundant number, since it is smaller than the sum of its proper divisors (147755827478400).

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

53532416332800 is a wasteful number, since it uses less digits than its factorization.

53532416332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109053 (or 109018 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 53532416332800 in words is "fifty-three trillion, five hundred thirty-two billion, four hundred sixteen million, three hundred thirty-two thousand, eight hundred".