55272672000 has 2304 divisors, whose sum is σ = 271417036800. Its totient is φ = 10749542400.

The previous prime is 55272671977. The next prime is 55272672031. The reversal of 55272672000 is 27627255.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1493855982 + ... + 1493856018.

Almost surely, 2^55272672000 is an apocalyptic number.

55272672000 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 55272672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135708518400).

55272672000 is an abundant number, since it is smaller than the sum of its proper divisors (216144364800).

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

55272672000 is a wasteful number, since it uses less digits than its factorization.

55272672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 55272672000 in words is "fifty-five billion, two hundred seventy-two million, six hundred seventy-two thousand".