51117416616 has 96 divisors (see below), whose sum is σ = 148732325280. Its totient is φ = 14597654400.

The previous prime is 51117416557. The next prime is 51117416617. The reversal of 51117416616 is 61661471115.

It is a happy number.

It is a super-2 number, since 2×51117416616² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51117416617) 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 23 ways as a sum of consecutive naturals, for example, 2602111 + ... + 2621681.

It is an arithmetic number, because the mean of its divisors is an integer number (1549295055).

Almost surely, 2^51117416616 is an apocalyptic number.

51117416616 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 51117416616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74366162640).

51117416616 is an abundant number, since it is smaller than the sum of its proper divisors (97614908664).

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

51117416616 is a wasteful number, since it uses less digits than its factorization.

51117416616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21815 (or 21804 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The spelling of 51117416616 in words is "fifty-one billion, one hundred seventeen million, four hundred sixteen thousand, six hundred sixteen".