52738918144 has 288 divisors, whose sum is σ = 122971226112. Its totient is φ = 22353408000.

The previous prime is 52738918021. The next prime is 52738918153. The reversal of 52738918144 is 44181983725.

It is a junction number, because it is equal to n+sod(n) for n = 52738918091 and 52738918100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415267009 + ... + 415267135.

It is an arithmetic number, because the mean of its divisors is an integer number (426983424).

Almost surely, 2^52738918144 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 52738918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61485613056).

52738918144 is an abundant number, since it is smaller than the sum of its proper divisors (70232307968).

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

52738918144 is a wasteful number, since it uses less digits than its factorization.

52738918144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 52.

The spelling of 52738918144 in words is "fifty-two billion, seven hundred thirty-eight million, nine hundred eighteen thousand, one hundred forty-four".