52400013241100 has 144 divisors (see below), whose sum is σ = 130284553254912. Its totient is φ = 17919804752640.

The previous prime is 52400013241091. The next prime is 52400013241111. The reversal of 52400013241100 is 114231000425.

It is a super-2 number, since 2×52400013241100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451483277 + ... + 451599323.

It is an arithmetic number, because the mean of its divisors is an integer number (904753842048).

Almost surely, 2^{52400013241100} is an apocalyptic number.

52400013241100 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 52400013241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65142276627456).

52400013241100 is an abundant number, since it is smaller than the sum of its proper divisors (77884540013812).

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

52400013241100 is a wasteful number, since it uses less digits than its factorization.

52400013241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117712 (or 117705 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 52400013241100 its reverse (114231000425), we get a palindrome (52514244241525).

The spelling of 52400013241100 in words is "fifty-two trillion, four hundred billion, thirteen million, two hundred forty-one thousand, one hundred".