55776960 has 168 divisors, whose sum is σ = 194712336. Its totient is φ = 14653440.

The previous prime is 55776953. The next prime is 55776971. The reversal of 55776960 is 6967755.

It is a happy number.

55776960 is a `hidden beast` number, since 557 + 7 + 6 + 96 + 0 = 666.

It is a super-2 number, since 2×55776960² = 6222138533683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308070 + ... + 308250.

It is an arithmetic number, because the mean of its divisors is an integer number (1159002).

Almost surely, 2^55776960 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 55776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97356168).

55776960 is an abundant number, since it is smaller than the sum of its proper divisors (138935376).

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

55776960 is a wasteful number, since it uses less digits than its factorization.

55776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 55776960 is about 7468.3974184560. The cubic root of 55776960 is about 382.0776319475.

The spelling of 55776960 in words is "fifty-five million, seven hundred seventy-six thousand, nine hundred sixty".