51111050016 has 288 divisors, whose sum is σ = 156267595008. Its totient is φ = 14530129920.

The previous prime is 51111049991. The next prime is 51111050021. The reversal of 51111050016 is 61005011115.

It is a happy number.

It is a super-2 number, since 2×51111050016² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51111049974 and 51111050001.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18470265 + ... + 18473031.

It is an arithmetic number, because the mean of its divisors is an integer number (542595816).

Almost surely, 2^51111050016 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 51111050016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78133797504).

51111050016 is an abundant number, since it is smaller than the sum of its proper divisors (105156544992).

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

51111050016 is a wasteful number, since it uses less digits than its factorization.

51111050016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 51111050016 in words is "fifty-one billion, one hundred eleven million, fifty thousand, sixteen".