55039625503200 has 1728 divisors, whose sum is σ = 230613080443200. Its totient is φ = 12221566156800.

The previous prime is 55039625503199. The next prime is 55039625503267. The reversal of 55039625503200 is 230552693055.

55039625503200 is a `hidden beast` number, since 5 + 5 + 0 + 3 + 9 + 62 + 550 + 32 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 6414122910 + ... + 6414131490.

It is an arithmetic number, because the mean of its divisors is an integer number (133456643775).

Almost surely, 2^{55039625503200} is an apocalyptic number.

55039625503200 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 55039625503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115306540221600).

55039625503200 is an abundant number, since it is smaller than the sum of its proper divisors (175573454940000).

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

55039625503200 is a wasteful number, since it uses less digits than its factorization.

55039625503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 55039625503200 in words is "fifty-five trillion, thirty-nine billion, six hundred twenty-five million, five hundred three thousand, two hundred".