55656480 has 192 divisors, whose sum is σ = 195084288. Its totient is φ = 13224960.

The previous prime is 55656479. The next prime is 55656499. The reversal of 55656480 is 8465655.

It is a super-3 number, since 3×55656480³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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, 438177 + ... + 438303.

It is an arithmetic number, because the mean of its divisors is an integer number (1016064).

Almost surely, 2^55656480 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 55656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97542144).

55656480 is an abundant number, since it is smaller than the sum of its proper divisors (139427808).

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

55656480 is a wasteful number, since it uses less digits than its factorization.

55656480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 55656480 is about 7460.3270705781. The cubic root of 55656480 is about 381.8023337063.

The spelling of 55656480 in words is "fifty-five million, six hundred fifty-six thousand, four hundred eighty".