5252448136320 has 640 divisors, whose sum is σ = 23385917808000. Its totient is φ = 1091416965120.

The previous prime is 5252448136171. The next prime is 5252448136367. The reversal of 5252448136320 is 236318442525.

5252448136320 is a `hidden beast` number, since 5 + 2 + 5 + 2 + 4 + 4 + 8 + 1 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5252448136320² (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 79 ways as a sum of consecutive naturals, for example, 3333756 + ... + 4649604.

It is an arithmetic number, because the mean of its divisors is an integer number (36540496575).

Almost surely, 2^{5252448136320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5252448136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692958904000).

5252448136320 is an abundant number, since it is smaller than the sum of its proper divisors (18133469671680).

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

5252448136320 is a wasteful number, since it uses less digits than its factorization.

5252448136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315898 (or 1315877 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 5252448136320 in words is "five trillion, two hundred fifty-two billion, four hundred forty-eight million, one hundred thirty-six thousand, three hundred twenty".