52515103224400 has 120 divisors (see below), whose sum is σ = 127593173748600. Its totient is φ = 20768711884800.

The previous prime is 52515103224391. The next prime is 52515103224461. The reversal of 52515103224400 is 442230151525.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 13167434660416 + 39347668563984 = 3628696^2 + 6272772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725100190 + ... + 725172610.

It is an arithmetic number, because the mean of its divisors is an integer number (1063276447905).

Almost surely, 2^{52515103224400} is an apocalyptic number.

52515103224400 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 52515103224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63796586874300).

52515103224400 is an abundant number, since it is smaller than the sum of its proper divisors (75078070524200).

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

52515103224400 is a wasteful number, since it uses less digits than its factorization.

52515103224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92897 (or 92886 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 52515103224400 its reverse (442230151525), we get a palindrome (52957333375925).

The spelling of 52515103224400 in words is "fifty-two trillion, five hundred fifteen billion, one hundred three million, two hundred twenty-four thousand, four hundred".