51006045649680 has 800 divisors, whose sum is σ = 199581946223616. Its totient is φ = 11960732160000.

The previous prime is 51006045649651. The next prime is 51006045649753. The reversal of 51006045649680 is 8694654060015.

51006045649680 is a `hidden beast` number, since 5 + 10 + 0 + 6 + 0 + 4 + 564 + 9 + 68 + 0 = 666.

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

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, 6763826710 + ... + 6763834250.

Almost surely, 2^{51006045649680} 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 51006045649680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99790973111808).

51006045649680 is an abundant number, since it is smaller than the sum of its proper divisors (148575900573936).

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

51006045649680 is a wasteful number, since it uses less digits than its factorization.

51006045649680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669 (or 10654 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 51006045649680 in words is "fifty-one trillion, six billion, forty-five million, six hundred forty-nine thousand, six hundred eighty".