55120672200 has 384 divisors, whose sum is σ = 195341783040. Its totient is φ = 12735360000.

The previous prime is 55120672193. The next prime is 55120672213. The reversal of 55120672200 is 227602155.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13706190 + ... + 13710210.

It is an arithmetic number, because the mean of its divisors is an integer number (508702560).

Almost surely, 2^55120672200 is an apocalyptic number.

55120672200 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 55120672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97670891520).

55120672200 is an abundant number, since it is smaller than the sum of its proper divisors (140221110840).

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

55120672200 is a wasteful number, since it uses less digits than its factorization.

55120672200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 55120672200 in words is "fifty-five billion, one hundred twenty million, six hundred seventy-two thousand, two hundred".