51994800 has 360 divisors, whose sum is σ = 214080048. Its totient is φ = 11520000.

The previous prime is 51994799. The next prime is 51994829. The reversal of 51994800 is 849915.

51994800 = T₁₉₄₉ + T₁₉₅₀ + ... + T₁₉₇₅.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 514750 + ... + 514850.

Almost surely, 2^51994800 is an apocalyptic number.

51994800 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 51994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107040024).

51994800 is an abundant number, since it is smaller than the sum of its proper divisors (162085248).

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

51994800 is a wasteful number, since it uses less digits than its factorization.

51994800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 51994800 is about 7210.7419867861. The cubic root of 51994800 is about 373.2386735631.

It can be divided in two parts, 5199 and 4800, that added together give a palindrome (9999).

The spelling of 51994800 in words is "fifty-one million, nine hundred ninety-four thousand, eight hundred".