51667770111048 has 512 divisors, whose sum is σ = 177273247334400. Its totient is φ = 13578031171584.

The previous prime is 51667770111043. The next prime is 51667770111049. The reversal of 51667770111048 is 84011107776615.

51667770111048 is a `hidden beast` number, since 516 + 6 + 7 + 7 + 7 + 0 + 1 + 110 + 4 + 8 = 666.

It is a super-3 number, since 3×51667770111048³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 51667770110985 and 51667770111003.

It is not an unprimeable number, because it can be changed into a prime (51667770111043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11592497236 + ... + 11592501692.

It is an arithmetic number, because the mean of its divisors is an integer number (346236811200).

Almost surely, 2^{51667770111048} 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 51667770111048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88636623667200).

51667770111048 is an abundant number, since it is smaller than the sum of its proper divisors (125605477223352).

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

51667770111048 is a wasteful number, since it uses less digits than its factorization.

51667770111048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 51667770111048 in words is "fifty-one trillion, six hundred sixty-seven billion, seven hundred seventy million, one hundred eleven thousand, forty-eight".