52624033440 has 192 divisors, whose sum is σ = 181154050560. Its totient is φ = 12734858240.

The previous prime is 52624033387. The next prime is 52624033463. The reversal of 52624033440 is 4433042625.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3090871 + ... + 3107849.

It is an arithmetic number, because the mean of its divisors is an integer number (943510680).

Almost surely, 2^52624033440 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 52624033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90577025280).

52624033440 is an abundant number, since it is smaller than the sum of its proper divisors (128530017120).

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

52624033440 is a wasteful number, since it uses less digits than its factorization.

52624033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17595 (or 17587 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 52624033440 in words is "fifty-two billion, six hundred twenty-four million, thirty-three thousand, four hundred forty".