55234112400 has 180 divisors, whose sum is σ = 193576786260. Its totient is φ = 14583168000.

The previous prime is 55234112399. The next prime is 55234112419. The reversal of 55234112400 is 421143255.

55234112400 is a `hidden beast` number, since 5 + 5 + 2 + 3 + 411 + 240 + 0 = 666.

55234112400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4749415056 + 50484697344 = 68916^2 + 224688^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 287646 + ... + 439554.

Almost surely, 2^55234112400 is an apocalyptic number.

55234112400 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 55234112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96788393130).

55234112400 is an abundant number, since it is smaller than the sum of its proper divisors (138342673860).

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

55234112400 is a wasteful number, since it uses less digits than its factorization.

55234112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152034 (or 152020 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 55234112400 its reverse (421143255), we get a palindrome (55655255655).

The spelling of 55234112400 in words is "fifty-five billion, two hundred thirty-four million, one hundred twelve thousand, four hundred".