55172880 has 320 divisors, whose sum is σ = 224985600. Its totient is φ = 12165120.

The previous prime is 55172879. The next prime is 55172881. The reversal of 55172880 is 8827155.

55172880 is a `hidden beast` number, since 551 + 7 + 28 + 80 = 666.

55172880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55172879) and next prime (55172881).

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

It is not an unprimeable number, because it can be changed into a prime (55172881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 619876 + ... + 619964.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^55172880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

55172880 is an abundant number, since it is smaller than the sum of its proper divisors (169812720).

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

55172880 is a wasteful number, since it uses less digits than its factorization.

55172880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 55172880 is about 7427.8449095279. The cubic root of 55172880 is about 380.6932865422.

The spelling of 55172880 in words is "fifty-five million, one hundred seventy-two thousand, eight hundred eighty".