5327292571200 has 378 divisors, whose sum is σ = 19085551820946. Its totient is φ = 1409363988480.

The previous prime is 5327292571123. The next prime is 5327292571219. The reversal of 5327292571200 is 21752927235.

5327292571200 is a `hidden beast` number, since 5 + 3 + 2 + 72 + 9 + 2 + 571 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 73588497984 + 5253704073216 = 271272^2 + 2292096^2 .

It is a super-2 number, since 2×5327292571200² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 232246132 + ... + 232269068.

Almost surely, 2^{5327292571200} is an apocalyptic number.

5327292571200 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 5327292571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9542775910473).

5327292571200 is an abundant number, since it is smaller than the sum of its proper divisors (13758259249746).

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

5327292571200 is a wasteful number, since it uses less digits than its factorization.

5327292571200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23219 (or 23074 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 5327292571200 in words is "five trillion, three hundred twenty-seven billion, two hundred ninety-two million, five hundred seventy-one thousand, two hundred".