55055616 has 288 divisors, whose sum is σ = 196224000. Its totient is φ = 13547520.

The previous prime is 55055603. The next prime is 55055617. The reversal of 55055616 is 61655055.

It is a super-2 number, since 2×55055616² = 6062241706278912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55055617) by changing a digit.

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, 2897655 + ... + 2897673.

Almost surely, 2^55055616 is an apocalyptic number.

55055616 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 55055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98112000).

55055616 is an abundant number, since it is smaller than the sum of its proper divisors (141168384).

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

55055616 is a wasteful number, since it uses less digits than its factorization.

55055616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 55055616 is about 7419.9471696232. The cubic root of 55055616 is about 380.4233877445.

The spelling of 55055616 in words is "fifty-five million, fifty-five thousand, six hundred sixteen".