51972122606976 has 1280 divisors, whose sum is σ = 188707718707200. Its totient is φ = 14066597376000.

The previous prime is 51972122606923. The next prime is 51972122606981. The reversal of 51972122606976 is 67960622127915.

51972122606976 is a `hidden beast` number, since 5 + 1 + 9 + 7 + 2 + 12 + 2 + 606 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×51972122606976² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7767463791 + ... + 7767470481.

It is an arithmetic number, because the mean of its divisors is an integer number (147427905240).

Almost surely, 2^{51972122606976} 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 51972122606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94353859353600).

51972122606976 is an abundant number, since it is smaller than the sum of its proper divisors (136735596100224).

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

51972122606976 is a wasteful number, since it uses less digits than its factorization.

51972122606976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 51972122606976 in words is "fifty-one trillion, nine hundred seventy-two billion, one hundred twenty-two million, six hundred six thousand, nine hundred seventy-six".