51989600 has 72 divisors (see below), whose sum is σ = 136710000. Its totient is φ = 19192320.

The previous prime is 51989593. The next prime is 51989603. The reversal of 51989600 is 698915.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51989603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7901 + ... + 12899.

It is an arithmetic number, because the mean of its divisors is an integer number (1898750).

Almost surely, 2^51989600 is an apocalyptic number.

51989600 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 51989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68355000).

51989600 is an abundant number, since it is smaller than the sum of its proper divisors (84720400).

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

51989600 is a wasteful number, since it uses less digits than its factorization.

51989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 51989600 is about 7210.3814046138. The cubic root of 51989600 is about 373.2262306149.

The spelling of 51989600 in words is "fifty-one million, nine hundred eighty-nine thousand, six hundred".