55651200 has 384 divisors, whose sum is σ = 218557440. Its totient is φ = 12288000.

The previous prime is 55651199. The next prime is 55651213. The reversal of 55651200 is 215655.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×55651200² = 6194112122880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 1795185 + ... + 1795215.

It is an arithmetic number, because the mean of its divisors is an integer number (569160).

Almost surely, 2^55651200 is an apocalyptic number.

55651200 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 55651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278720).

55651200 is an abundant number, since it is smaller than the sum of its proper divisors (162906240).

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

55651200 is a wasteful number, since it uses less digits than its factorization.

55651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

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

The square root of 55651200 is about 7459.9731903004. The cubic root of 55651200 is about 381.7902597598.

Adding to 55651200 its reverse (215655), we get a palindrome (55866855).

The spelling of 55651200 in words is "fifty-five million, six hundred fifty-one thousand, two hundred".