51028851319200 has 432 divisors, whose sum is σ = 189674841283200. Its totient is φ = 12873544704000.

The previous prime is 51028851319093. The next prime is 51028851319211. The reversal of 51028851319200 is 291315882015.

51028851319200 is a `hidden beast` number, since 5 + 1 + 0 + 2 + 88 + 51 + 319 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 98099800 + ... + 98618600.

It is an arithmetic number, because the mean of its divisors is an integer number (439062132600).

Almost surely, 2^{51028851319200} is an apocalyptic number.

51028851319200 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 51028851319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94837420641600).

51028851319200 is an abundant number, since it is smaller than the sum of its proper divisors (138645989964000).

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

51028851319200 is a wasteful number, since it uses less digits than its factorization.

51028851319200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519565 (or 519549 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 51028851319200 in words is "fifty-one trillion, twenty-eight billion, eight hundred fifty-one million, three hundred nineteen thousand, two hundred".