51968000 has 192 divisors, whose sum is σ = 153316800. Its totient is φ = 17203200.

The previous prime is 51967999. The next prime is 51968027. The reversal of 51968000 is 86915.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791986 + ... + 1792014.

It is an arithmetic number, because the mean of its divisors is an integer number (798525).

Almost surely, 2^51968000 is an apocalyptic number.

51968000 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 51968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76658400).

51968000 is an abundant number, since it is smaller than the sum of its proper divisors (101348800).

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

51968000 is an equidigital number, since it uses as much as digits as its factorization.

51968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 51968000 is about 7208.8834086840. The cubic root of 51968000 is about 373.1745356394.

The spelling of 51968000 in words is "fifty-one million, nine hundred sixty-eight thousand".