55322400 has 288 divisors, whose sum is σ = 213736320. Its totient is φ = 12165120.

The previous prime is 55322389. The next prime is 55322411. The reversal of 55322400 is 422355.

It is an interprime number because it is at equal distance from previous prime (55322389) and next prime (55322411).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621556 + ... + 621644.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^55322400 is an apocalyptic number.

55322400 is a gapful number since it is divisible by the number (50) 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 55322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

55322400 is an abundant number, since it is smaller than the sum of its proper divisors (158413920).

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

55322400 is a wasteful number, since it uses less digits than its factorization.

55322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 55322400 is about 7437.9029302620. The cubic root of 55322400 is about 381.0368727274.

Adding to 55322400 its reverse (422355), we get a palindrome (55744755).

The spelling of 55322400 in words is "fifty-five million, three hundred twenty-two thousand, four hundred".