55251600 has 120 divisors (see below), whose sum is σ = 181467552. Its totient is φ = 14361600.

The previous prime is 55251593. The next prime is 55251631. The reversal of 55251600 is 615255.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48639 + ... + 49761.

Almost surely, 2^55251600 is an apocalyptic number.

55251600 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 55251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90733776).

55251600 is an abundant number, since it is smaller than the sum of its proper divisors (126215952).

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

55251600 is a wasteful number, since it uses less digits than its factorization.

55251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 55251600 is about 7433.1420005271. The cubic root of 55251600 is about 380.8742566979.

Adding to 55251600 its reverse (615255), we get a palindrome (55866855).

The spelling of 55251600 in words is "fifty-five million, two hundred fifty-one thousand, six hundred".