52424871003648 has 640 divisors, whose sum is σ = 187238430973440. Its totient is φ = 14267947253760.

The previous prime is 52424871003643. The next prime is 52424871003667. The reversal of 52424871003648 is 84630017842425.

52424871003648 is a `hidden beast` number, since 5 + 2 + 424 + 87 + 100 + 36 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 52424871003594 and 52424871003603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52424871003643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72784411 + ... + 73501157.

It is an arithmetic number, because the mean of its divisors is an integer number (292560048396).

Almost surely, 2^{52424871003648} 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 52424871003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93619215486720).

52424871003648 is an abundant number, since it is smaller than the sum of its proper divisors (134813559969792).

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

52424871003648 is a wasteful number, since it uses less digits than its factorization.

52424871003648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716835 (or 716813 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 52424871003648 in words is "fifty-two trillion, four hundred twenty-four billion, eight hundred seventy-one million, three thousand, six hundred forty-eight".