55009037619200 has 936 divisors, whose sum is σ = 161446417000128. Its totient is φ = 18534122127360.

The previous prime is 55009037619079. The next prime is 55009037619257. The reversal of 55009037619200 is 291673090055.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84240486074 + ... + 84240486726.

It is an arithmetic number, because the mean of its divisors is an integer number (172485488248).

Almost surely, 2^{55009037619200} is an apocalyptic number.

55009037619200 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 55009037619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80723208500064).

55009037619200 is an abundant number, since it is smaller than the sum of its proper divisors (106437379380928).

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

55009037619200 is a wasteful number, since it uses less digits than its factorization.

55009037619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 47.

The spelling of 55009037619200 in words is "fifty-five trillion, nine billion, thirty-seven million, six hundred nineteen thousand, two hundred".