52005185400 has 384 divisors, whose sum is σ = 189480729600. Its totient is φ = 11554099200.

The previous prime is 52005185377. The next prime is 52005185447. The reversal of 52005185400 is 458150025.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 21767406 + ... + 21769794.

It is an arithmetic number, because the mean of its divisors is an integer number (493439400).

Almost surely, 2^52005185400 is an apocalyptic number.

52005185400 is a gapful number since it is divisible by the number (50) 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 52005185400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94740364800).

52005185400 is an abundant number, since it is smaller than the sum of its proper divisors (137475544200).

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

52005185400 is a wasteful number, since it uses less digits than its factorization.

52005185400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 52005185400 in words is "fifty-two billion, five million, one hundred eighty-five thousand, four hundred".