51867782028288 has 1056 divisors, whose sum is σ = 167904126936000. Its totient is φ = 15345144299520.

The previous prime is 51867782028281. The next prime is 51867782028289. The reversal of 51867782028288 is 88282028776815.

51867782028288 is a `hidden beast` number, since 5 + 18 + 67 + 78 + 202 + 8 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51867782028281) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 48519907818 + ... + 48519908886.

Almost surely, 2^{51867782028288} is an apocalyptic number.

51867782028288 is a gapful number since it is divisible by the number (58) 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 51867782028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83952063468000).

51867782028288 is an abundant number, since it is smaller than the sum of its proper divisors (116036344907712).

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

51867782028288 is a wasteful number, since it uses less digits than its factorization.

51867782028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 385351680, while the sum is 72.

The spelling of 51867782028288 in words is "fifty-one trillion, eight hundred sixty-seven billion, seven hundred eighty-two million, twenty-eight thousand, two hundred eighty-eight".