55436540125200 has 240 divisors, whose sum is σ = 191254181032320. Its totient is φ = 13645037629440.

The previous prime is 55436540125147. The next prime is 55436540125223. The reversal of 55436540125200 is 252104563455.

It is a tau number, because it is divible by the number of its divisors (240).

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, 260866189 + ... + 261078611.

It is an arithmetic number, because the mean of its divisors is an integer number (796892420968).

Almost surely, 2^{55436540125200} is an apocalyptic number.

55436540125200 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 55436540125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95627090516160).

55436540125200 is an abundant number, since it is smaller than the sum of its proper divisors (135817640907120).

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

55436540125200 is a wasteful number, since it uses less digits than its factorization.

55436540125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229186 (or 229175 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

Adding to 55436540125200 its reverse (252104563455), we get a palindrome (55688644688655).

The spelling of 55436540125200 in words is "fifty-five trillion, four hundred thirty-six billion, five hundred forty million, one hundred twenty-five thousand, two hundred".