53234234726400 has 3024 divisors, whose sum is σ = 248019981955200. Its totient is φ = 11226822082560.

The previous prime is 53234234726353. The next prime is 53234234726411. The reversal of 53234234726400 is 462743243235.

53234234726400 is a `hidden beast` number, since 5 + 3 + 2 + 3 + 4 + 234 + 7 + 2 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 23775896481 + ... + 23775898719.

It is an arithmetic number, because the mean of its divisors is an integer number (82017189800).

Almost surely, 2^{53234234726400} is an apocalyptic number.

53234234726400 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 53234234726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124009990977600).

53234234726400 is an abundant number, since it is smaller than the sum of its proper divisors (194785747228800).

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

53234234726400 is a wasteful number, since it uses less digits than its factorization.

53234234726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 45.

Adding to 53234234726400 its reverse (462743243235), we get a palindrome (53696977969635).

The spelling of 53234234726400 in words is "fifty-three trillion, two hundred thirty-four billion, two hundred thirty-four million, seven hundred twenty-six thousand, four hundred".