51888800 has 72 divisors (see below), whose sum is σ = 130171356. Its totient is φ = 20183040.

The previous prime is 51888797. The next prime is 51888841. The reversal of 51888800 is 888815.

It can be written as a sum of positive squares in 6 ways, for example, as 14776336 + 37112464 = 3844^2 + 6092^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28724 + ... + 30476.

Almost surely, 2^51888800 is an apocalyptic number.

51888800 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 51888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65085678).

51888800 is an abundant number, since it is smaller than the sum of its proper divisors (78282556).

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

51888800 is a wasteful number, since it uses less digits than its factorization.

51888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 38.

The square root of 51888800 is about 7203.3880917246. The cubic root of 51888800 is about 372.9848647506.

The spelling of 51888800 in words is "fifty-one million, eight hundred eighty-eight thousand, eight hundred".