55303512135600 has 240 divisors, whose sum is σ = 181571303589632. Its totient is φ = 14381128903680.

The previous prime is 55303512135593. The next prime is 55303512135653. The reversal of 55303512135600 is 653121530355.

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, 30756597 + ... + 32505003.

Almost surely, 2^{55303512135600} is an apocalyptic number.

55303512135600 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 55303512135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90785651794816).

55303512135600 is an abundant number, since it is smaller than the sum of its proper divisors (126267791454032).

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

55303512135600 is a wasteful number, since it uses less digits than its factorization.

55303512135600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749084 (or 1749073 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 39.

Adding to 55303512135600 its reverse (653121530355), we get a palindrome (55956633665955).

The spelling of 55303512135600 in words is "fifty-five trillion, three hundred three billion, five hundred twelve million, one hundred thirty-five thousand, six hundred".