55182400416 has 576 divisors, whose sum is σ = 200640182400. Its totient is φ = 14616391680.

The previous prime is 55182400411. The next prime is 55182400447. The reversal of 55182400416 is 61400428155.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (55182400411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25821300 + ... + 25823436.

It is an arithmetic number, because the mean of its divisors is an integer number (348333650).

Almost surely, 2^55182400416 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 55182400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100320091200).

55182400416 is an abundant number, since it is smaller than the sum of its proper divisors (145457781984).

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

55182400416 is a wasteful number, since it uses less digits than its factorization.

55182400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 55182400416 in words is "fifty-five billion, one hundred eighty-two million, four hundred thousand, four hundred sixteen".