5572152705600 has 504 divisors, whose sum is σ = 21385636504232. Its totient is φ = 1367912448000.

The previous prime is 5572152705569. The next prime is 5572152705659. The reversal of 5572152705600 is 65072512755.

5572152705600 is a `hidden beast` number, since 5 + 5 + 7 + 2 + 15 + 2 + 70 + 560 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3260682501696 + 2311470203904 = 1805736^2 + 1520352^2 .

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69785700 + ... + 69865500.

Almost surely, 2^{5572152705600} is an apocalyptic number.

5572152705600 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 5572152705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692818252116).

5572152705600 is an abundant number, since it is smaller than the sum of its proper divisors (15813483798632).

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

5572152705600 is a wasteful number, since it uses less digits than its factorization.

5572152705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80215 (or 80197 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 5572152705600 in words is "five trillion, five hundred seventy-two billion, one hundred fifty-two million, seven hundred five thousand, six hundred".