51559200 has 576 divisors, whose sum is σ = 239984640. Its totient is φ = 10368000.

The previous prime is 51559199. The next prime is 51559201. The reversal of 51559200 is 295515.

It is an interprime number because it is at equal distance from previous prime (51559199) and next prime (51559201).

It is a super-2 number, since 2×51559200² = 5316702209280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51559201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1663185 + ... + 1663215.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^51559200 is an apocalyptic number.

51559200 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 51559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

51559200 is an abundant number, since it is smaller than the sum of its proper divisors (188425440).

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

51559200 is a wasteful number, since it uses less digits than its factorization.

51559200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 51559200 is about 7180.4735219900. The cubic root of 51559200 is about 372.1934477728.

The spelling of 51559200 in words is "fifty-one million, five hundred fifty-nine thousand, two hundred".