51066749352672 has 576 divisors, whose sum is σ = 153893459865600. Its totient is φ = 16654652352000.

The previous prime is 51066749352667. The next prime is 51066749352761. The reversal of 51066749352672 is 27625394766015.

51066749352672 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 67 + 49 + 3 + 526 + 7 + 2 = 666.

It is a super-2 number, since 2×51066749352672² (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 95 ways as a sum of consecutive naturals, for example, 35001198279 + ... + 35001199737.

It is an arithmetic number, because the mean of its divisors is an integer number (267176145600).

Almost surely, 2^{51066749352672} 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 51066749352672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76946729932800).

51066749352672 is an abundant number, since it is smaller than the sum of its proper divisors (102826710512928).

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

51066749352672 is a wasteful number, since it uses less digits than its factorization.

51066749352672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 51066749352672 in words is "fifty-one trillion, sixty-six billion, seven hundred forty-nine million, three hundred fifty-two thousand, six hundred seventy-two".