51227827200 has 1584 divisors, whose sum is σ = 224515942560. Its totient is φ = 11010048000.

The previous prime is 51227827199. The next prime is 51227827223. The reversal of 51227827200 is 272872215.

51227827200 is a `hidden beast` number, since 512 + 2 + 78 + 2 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1249459180 + ... + 1249459220.

Almost surely, 2^51227827200 is an apocalyptic number.

51227827200 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 51227827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112257971280).

51227827200 is an abundant number, since it is smaller than the sum of its proper divisors (173288115360).

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

51227827200 is a wasteful number, since it uses less digits than its factorization.

51227827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 51227827200 in words is "fifty-one billion, two hundred twenty-seven million, eight hundred twenty-seven thousand, two hundred".