51288318900 has 432 divisors, whose sum is σ = 204251593728. Its totient is φ = 10471680000.

The previous prime is 51288318889. The next prime is 51288318923. The reversal of 51288318900 is 981388215.

It is a happy number.

51288318900 is a `hidden beast` number, since 51 + 288 + 318 + 9 + 0 + 0 = 666.

51288318900 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2528800 + ... + 2549000.

Almost surely, 2^51288318900 is an apocalyptic number.

51288318900 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 51288318900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102125796864).

51288318900 is an abundant number, since it is smaller than the sum of its proper divisors (152963274828).

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

51288318900 is a wasteful number, since it uses less digits than its factorization.

51288318900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20272 (or 20262 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 51288318900 in words is "fifty-one billion, two hundred eighty-eight million, three hundred eighteen thousand, nine hundred".