52140441600 has 756 divisors, whose sum is σ = 212978266956. Its totient is φ = 12079595520.

The previous prime is 52140441589. The next prime is 52140441659. The reversal of 52140441600 is 614404125.

52140441600 is a `hidden beast` number, since 5 + 2 + 14 + 0 + 4 + 41 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1849688064 + 50290753536 = 43008^2 + 224256^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3067084792 + ... + 3067084808.

Almost surely, 2^52140441600 is an apocalyptic number.

52140441600 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 52140441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106489133478).

52140441600 is an abundant number, since it is smaller than the sum of its proper divisors (160837825356).

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

52140441600 is an equidigital number, since it uses as much as digits as its factorization.

52140441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 52140441600 its reverse (614404125), we get a palindrome (52754845725).

The spelling of 52140441600 in words is "fifty-two billion, one hundred forty million, four hundred forty-one thousand, six hundred".