51724579660416 has 768 divisors, whose sum is σ = 170750174999040. Its totient is φ = 15488152694784.

The previous prime is 51724579660379. The next prime is 51724579660427. The reversal of 51724579660416 is 61406697542715.

51724579660416 is a `hidden beast` number, since 5 + 1 + 7 + 2 + 4 + 5 + 7 + 9 + 6 + 604 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2248589971 + ... + 2248612973.

It is an arithmetic number, because the mean of its divisors is an integer number (222330957030).

Almost surely, 2^{51724579660416} 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 51724579660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85375087499520).

51724579660416 is an abundant number, since it is smaller than the sum of its proper divisors (119025595338624).

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

51724579660416 is a wasteful number, since it uses less digits than its factorization.

51724579660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23195 (or 23171 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 51724579660416 in words is "fifty-one trillion, seven hundred twenty-four billion, five hundred seventy-nine million, six hundred sixty thousand, four hundred sixteen".