52386048000 has 1536 divisors, whose sum is σ = 231815001600. Its totient is φ = 11501568000.

The previous prime is 52386047993. The next prime is 52386048007. The reversal of 52386048000 is 84068325.

It is an interprime number because it is at equal distance from previous prime (52386047993) and next prime (52386048007).

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52386048007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 988415974 + ... + 988416026.

It is an arithmetic number, because the mean of its divisors is an integer number (150921225).

Almost surely, 2^52386048000 is an apocalyptic number.

52386048000 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 52386048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115907500800).

52386048000 is an abundant number, since it is smaller than the sum of its proper divisors (179428953600).

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

52386048000 is a wasteful number, since it uses less digits than its factorization.

52386048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 52386048000 in words is "fifty-two billion, three hundred eighty-six million, forty-eight thousand".