55152000 has 192 divisors, whose sum is σ = 198581760. Its totient is φ = 14668800.

The previous prime is 55151989. The next prime is 55152001. The reversal of 55152000 is 25155.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55152001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143809 + ... + 144191.

It is an arithmetic number, because the mean of its divisors is an integer number (1034280).

Almost surely, 2^55152000 is an apocalyptic number.

55152000 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 55152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99290880).

55152000 is an abundant number, since it is smaller than the sum of its proper divisors (143429760).

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

55152000 is a wasteful number, since it uses less digits than its factorization.

55152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 55152000 is about 7426.4392544476. The cubic root of 55152000 is about 380.6452564304.

Adding to 55152000 its reverse (25155), we get a palindrome (55177155).

The spelling of 55152000 in words is "fifty-five million, one hundred fifty-two thousand".