52105412400 has 120 divisors (see below), whose sum is σ = 168632113104. Its totient is φ = 13751500800.

The previous prime is 52105412383. The next prime is 52105412407. The reversal of 52105412400 is 421450125.

52105412400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (52105412407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107421 + ... + 340220.

Almost surely, 2^52105412400 is an apocalyptic number.

52105412400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52105412400 is an abundant number, since it is smaller than the sum of its proper divisors (116526700704).

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

52105412400 is a wasteful number, since it uses less digits than its factorization.

52105412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447759 (or 447748 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 52105412400 its reverse (421450125), we get a palindrome (52526862525).

The spelling of 52105412400 in words is "fifty-two billion, one hundred five million, four hundred twelve thousand, four hundred".