52045224192 has 720 divisors, whose sum is σ = 181928566512. Its totient is φ = 14651228160.

The previous prime is 52045224163. The next prime is 52045224227. The reversal of 52045224192 is 29142254025.

52045224192 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 522 + 41 + 92 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12326328576 + 39718895616 = 111024^2 + 199296^2 .

It is a super-3 number, since 3×52045224192³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 79 ways as a sum of consecutive naturals, for example, 187888758 + ... + 187889034.

Almost surely, 2^52045224192 is an apocalyptic number.

52045224192 is a gapful number since it is divisible by the number (52) 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 52045224192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90964283256).

52045224192 is an abundant number, since it is smaller than the sum of its proper divisors (129883342320).

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

52045224192 is a wasteful number, since it uses less digits than its factorization.

52045224192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 520452 and 24192, that added together give a square (544644 = 738²).

The spelling of 52045224192 in words is "fifty-two billion, forty-five million, two hundred twenty-four thousand, one hundred ninety-two".