52103334400 has 240 divisors, whose sum is σ = 139518679608. Its totient is φ = 19169280000.

The previous prime is 52103334397. The next prime is 52103334419. The reversal of 52103334400 is 443330125.

It can be written as a sum of positive squares in 12 ways, for example, as 911556864 + 51191777536 = 30192^2 + 226256^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 86694100 + ... + 86694700.

Almost surely, 2^52103334400 is an apocalyptic number.

52103334400 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 52103334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69759339804).

52103334400 is an abundant number, since it is smaller than the sum of its proper divisors (87415345208).

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

52103334400 is a wasteful number, since it uses less digits than its factorization.

52103334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 52103334400 its reverse (443330125), we get a palindrome (52546664525).

The spelling of 52103334400 in words is "fifty-two billion, one hundred three million, three hundred thirty-four thousand, four hundred".