5752627344000 has 1024 divisors, whose sum is σ = 22407965798400. Its totient is φ = 1448202240000.

The previous prime is 5752627343993. The next prime is 5752627344001. The reversal of 5752627344000 is 4437262575.

5752627344000 is a `hidden beast` number, since 57 + 526 + 2 + 7 + 34 + 40 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5752627344001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 549066762 + ... + 549077238.

It is an arithmetic number, because the mean of its divisors is an integer number (21882779100).

Almost surely, 2^{5752627344000} is an apocalyptic number.

5752627344000 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 5752627344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203982899200).

5752627344000 is an abundant number, since it is smaller than the sum of its proper divisors (16655338454400).

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

5752627344000 is a wasteful number, since it uses less digits than its factorization.

5752627344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10587 (or 10559 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 5752627344000 in words is "five trillion, seven hundred fifty-two billion, six hundred twenty-seven million, three hundred forty-four thousand".