51084249216 has 384 divisors, whose sum is σ = 183207536640. Its totient is φ = 12246773760.

The previous prime is 51084249163. The next prime is 51084249253. The reversal of 51084249216 is 61294248015.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×51084249216² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 4991881 + ... + 5002103.

It is an arithmetic number, because the mean of its divisors is an integer number (477102960).

Almost surely, 2^51084249216 is an apocalyptic number.

51084249216 is a gapful number since it is divisible by the number (56) 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 51084249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91603768320).

51084249216 is an abundant number, since it is smaller than the sum of its proper divisors (132123287424).

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

51084249216 is a wasteful number, since it uses less digits than its factorization.

51084249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10284 (or 10259 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 51084249216 in words is "fifty-one billion, eighty-four million, two hundred forty-nine thousand, two hundred sixteen".