51106857984000 has 5376 divisors, whose sum is σ = 245478082397184. Its totient is φ = 10319560704000.

The previous prime is 51106857983999. The next prime is 51106857984011. The reversal of 51106857984000 is 48975860115.

It is a happy number.

51106857984000 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 68 + 579 + 8 + 4 + 0 + 0 + 0 = 666.

51106857984000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×51106857984000² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 837817343970 + ... + 837817344030.

It is an arithmetic number, because the mean of its divisors is an integer number (45661845684).

Almost surely, 2^{51106857984000} is an apocalyptic number.

51106857984000 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 51106857984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122739041198592).

51106857984000 is an abundant number, since it is smaller than the sum of its proper divisors (194371224413184).

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

51106857984000 is an equidigital number, since it uses as much as digits as its factorization.

51106857984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 51106857984000 in words is "fifty-one trillion, one hundred six billion, eight hundred fifty-seven million, nine hundred eighty-four thousand".