52358400000 has 720 divisors, whose sum is σ = 197411153940. Its totient is φ = 13824000000.

The previous prime is 52358399999. The next prime is 52358400013. The reversal of 52358400000 is 485325.

It can be written as a sum of positive squares in 6 ways, for example, as 199148544 + 52159251456 = 14112^2 + 228384^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 518399950 + ... + 518400050.

Almost surely, 2^52358400000 is an apocalyptic number.

52358400000 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 52358400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98705576970).

52358400000 is an abundant number, since it is smaller than the sum of its proper divisors (145052753940).

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

52358400000 is an frugal number, since it uses more digits than its factorization.

52358400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 52358400000 its reverse (485325), we get a palindrome (52358885325).

The spelling of 52358400000 in words is "fifty-two billion, three hundred fifty-eight million, four hundred thousand".