52240105430400 has 384 divisors, whose sum is σ = 176099318208000. Its totient is φ = 13604257013760.

The previous prime is 52240105430389. The next prime is 52240105430473. The reversal of 52240105430400 is 403450104225.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 3797340322 + ... + 3797354078.

It is an arithmetic number, because the mean of its divisors is an integer number (458591974500).

Almost surely, 2^{52240105430400} is an apocalyptic number.

52240105430400 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 52240105430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88049659104000).

52240105430400 is an abundant number, since it is smaller than the sum of its proper divisors (123859212777600).

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

52240105430400 is a wasteful number, since it uses less digits than its factorization.

52240105430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23026 (or 23009 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 52240105430400 its reverse (403450104225), we get a palindrome (52643555534625).

The spelling of 52240105430400 in words is "fifty-two trillion, two hundred forty billion, one hundred five million, four hundred thirty thousand, four hundred".