5332046227200 has 3240 divisors, whose sum is σ = 25580938965120. Its totient is φ = 1064503296000.

The previous prime is 5332046227187. The next prime is 5332046227247. The reversal of 5332046227200 is 27226402335.

5332046227200 is a `hidden beast` number, since 5 + 3 + 3 + 2 + 0 + 4 + 622 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 38360044731 + ... + 38360044869.

Almost surely, 2^{5332046227200} is an apocalyptic number.

5332046227200 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 5332046227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790469482560).

5332046227200 is an abundant number, since it is smaller than the sum of its proper divisors (20248892737920).

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

5332046227200 is a wasteful number, since it uses less digits than its factorization.

5332046227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 5332046227200 in words is "five trillion, three hundred thirty-two billion, forty-six million, two hundred twenty-seven thousand, two hundred".