51231787200 has 840 divisors, whose sum is σ = 207969662800. Its totient is φ = 12419827200.

The previous prime is 51231787199. The next prime is 51231787213. The reversal of 51231787200 is 278713215.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

51231787200 is a `hidden beast` number, since 512 + 3 + 1 + 78 + 72 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4657435195 + ... + 4657435205.

Almost surely, 2^51231787200 is an apocalyptic number.

51231787200 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 51231787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103984831400).

51231787200 is an abundant number, since it is smaller than the sum of its proper divisors (156737875600).

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

51231787200 is an frugal number, since it uses more digits than its factorization.

51231787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 51231787200 in words is "fifty-one billion, two hundred thirty-one million, seven hundred eighty-seven thousand, two hundred".