55778112 has 168 divisors, whose sum is σ = 178490880. Its totient is φ = 17072640.

The previous prime is 55778087. The next prime is 55778119. The reversal of 55778112 is 21187755.

55778112 is a `hidden beast` number, since 5 + 577 + 81 + 1 + 2 = 666.

It is a super-2 number, since 2×55778112² = 6222395556569088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55778119) by changing a digit.

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, 291937 + ... + 292127.

Almost surely, 2^55778112 is an apocalyptic number.

55778112 is a gapful number since it is divisible by the number (52) 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 55778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89245440).

55778112 is an abundant number, since it is smaller than the sum of its proper divisors (122712768).

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

55778112 is a wasteful number, since it uses less digits than its factorization.

55778112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 209 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The square root of 55778112 is about 7468.4745430376. The cubic root of 55778112 is about 382.0802623669.

It can be divided in two parts, 5577 and 8112, that added together give a square (13689 = 117²).

The spelling of 55778112 in words is "fifty-five million, seven hundred seventy-eight thousand, one hundred twelve".