51112104554016 has 384 divisors, whose sum is σ = 171449826508800. Its totient is φ = 14662363668480.

The previous prime is 51112104554009. The next prime is 51112104554023. The reversal of 51112104554016 is 61045540121115.

51112104554016 is a `hidden beast` number, since 5 + 1 + 1 + 1 + 2 + 104 + 5 + 540 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (51112104554009) and next prime (51112104554023).

It is a super-2 number, since 2×51112104554016² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19998145 + ... + 22408703.

It is an arithmetic number, because the mean of its divisors is an integer number (446483923200).

Almost surely, 2^{51112104554016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51112104554016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85724913254400).

51112104554016 is an abundant number, since it is smaller than the sum of its proper divisors (120337721954784).

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

51112104554016 is a wasteful number, since it uses less digits than its factorization.

51112104554016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410709 (or 2410695 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 51112104554016 in words is "fifty-one trillion, one hundred twelve billion, one hundred four million, five hundred fifty-four thousand, sixteen".