51482251800 has 864 divisors, whose sum is σ = 218757427200. Its totient is φ = 10777536000.

The previous prime is 51482251787. The next prime is 51482251811. The reversal of 51482251800 is 815228415.

51482251800 is a `hidden beast` number, since 51 + 482 + 2 + 51 + 80 + 0 = 666.

51482251800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 51949305 + ... + 51950295.

Almost surely, 2^51482251800 is an apocalyptic number.

51482251800 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 51482251800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109378713600).

51482251800 is an abundant number, since it is smaller than the sum of its proper divisors (167275175400).

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

51482251800 is a wasteful number, since it uses less digits than its factorization.

51482251800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 51482251800 in words is "fifty-one billion, four hundred eighty-two million, two hundred fifty-one thousand, eight hundred".