51834349056 has 320 divisors, whose sum is σ = 166925316096. Its totient is φ = 13978828800.

The previous prime is 51834349043. The next prime is 51834349093. The reversal of 51834349056 is 65094343815.

It is a super-2 number, since 2×51834349056² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 51834348996 and 51834349014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13663896 + ... + 13667688.

Almost surely, 2^51834349056 is an apocalyptic number.

51834349056 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 51834349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462658048).

51834349056 is an abundant number, since it is smaller than the sum of its proper divisors (115090967040).

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

51834349056 is a wasteful number, since it uses less digits than its factorization.

51834349056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 51834349056 in words is "fifty-one billion, eight hundred thirty-four million, three hundred forty-nine thousand, fifty-six".