55579776 has 256 divisors, whose sum is σ = 188006400. Its totient is φ = 14192640.

The previous prime is 55579757. The next prime is 55579793. The reversal of 55579776 is 67797555.

It is a super-2 number, since 2×55579776² = 6178223000420352, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792881 + ... + 1792911.

It is an arithmetic number, because the mean of its divisors is an integer number (734400).

Almost surely, 2^55579776 is an apocalyptic number.

55579776 is a gapful number since it is divisible by the number (56) 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 55579776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94003200).

55579776 is an abundant number, since it is smaller than the sum of its proper divisors (132426624).

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

55579776 is a wasteful number, since it uses less digits than its factorization.

55579776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its digits is 2315250, while the sum is 51.

The square root of 55579776 is about 7455.1845047591. The cubic root of 55579776 is about 381.6268571035.

The spelling of 55579776 in words is "fifty-five million, five hundred seventy-nine thousand, seven hundred seventy-six".