51389874900 has 1080 divisors, whose sum is σ = 214035300864. Its totient is φ = 10432281600.

The previous prime is 51389874841. The next prime is 51389874919. The reversal of 51389874900 is 947898315.

51389874900 is a `hidden beast` number, since 513 + 8 + 9 + 87 + 49 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 297051214 + ... + 297051386.

Almost surely, 2^51389874900 is an apocalyptic number.

51389874900 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 51389874900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107017650432).

51389874900 is an abundant number, since it is smaller than the sum of its proper divisors (162645425964).

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

51389874900 is a wasteful number, since it uses less digits than its factorization.

51389874900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 51389874900 in words is "fifty-one billion, three hundred eighty-nine million, eight hundred seventy-four thousand, nine hundred".