52004519424 has 960 divisors, whose sum is σ = 190177827840. Its totient is φ = 13974405120.

The previous prime is 52004519417. The next prime is 52004519431. The reversal of 52004519424 is 42491540025.

It is a happy number.

52004519424 is a `hidden beast` number, since 520 + 0 + 45 + 1 + 94 + 2 + 4 = 666.

52004519424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52004519417) and next prime (52004519431).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 658285017 + ... + 658285095.

It is an arithmetic number, because the mean of its divisors is an integer number (198101904).

Almost surely, 2^52004519424 is an apocalyptic number.

52004519424 is a gapful number since it is divisible by the number (54) 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 52004519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95088913920).

52004519424 is an abundant number, since it is smaller than the sum of its proper divisors (138173308416).

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

52004519424 is a wasteful number, since it uses less digits than its factorization.

52004519424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 52004519424 in words is "fifty-two billion, four million, five hundred nineteen thousand, four hundred twenty-four".