52006348800 has 864 divisors, whose sum is σ = 222432013440. Its totient is φ = 11354112000.

The previous prime is 52006348781. The next prime is 52006348829. The reversal of 52006348800 is 884360025.

It is a super-2 number, since 2×52006348800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74188450 + ... + 74189150.

It is an arithmetic number, because the mean of its divisors is an integer number (257444460).

Almost surely, 2^52006348800 is an apocalyptic number.

52006348800 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 52006348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111216006720).

52006348800 is an abundant number, since it is smaller than the sum of its proper divisors (170425664640).

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

52006348800 is a wasteful number, since it uses less digits than its factorization.

52006348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 741 counting only the distinct ones).

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

The spelling of 52006348800 in words is "fifty-two billion, six million, three hundred forty-eight thousand, eight hundred".