51816600 has 144 divisors (see below), whose sum is σ = 189909720. Its totient is φ = 12556800.

The previous prime is 51816599. The next prime is 51816623. The reversal of 51816600 is 661815.

51816600 = T₁₂₉ + T₁₃₀ + ... + T₆₇₈.

51816600 is a `hidden beast` number, since 51 + 8 + 1 + 6 + 600 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 18492 + ... + 21108.

Almost surely, 2^51816600 is an apocalyptic number.

51816600 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 51816600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94954860).

51816600 is an abundant number, since it is smaller than the sum of its proper divisors (138093120).

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

51816600 is a wasteful number, since it uses less digits than its factorization.

51816600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 51816600 is about 7198.3748165819. The cubic root of 51816600 is about 372.8117894618.

It can be divided in two parts, 5181 and 6600, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 51816600 in words is "fifty-one million, eight hundred sixteen thousand, six hundred".