51220702314496 has 1215 divisors, whose sum is σ = 135395091043023. Its totient is φ = 19347579863040.

The previous prime is 51220702314401. The next prime is 51220702314539. The reversal of 51220702314496 is 69441320702215.

The square root of 51220702314496 is 7156864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 462487044096 + 50758215270400 = 680064^2 + 7124480^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2226987057141 + ... + 2226987057163.

Almost surely, 2^{51220702314496} is an apocalyptic number.

51220702314496 is the 7156864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51220702314496

51220702314496 is an abundant number, since it is smaller than the sum of its proper divisors (84174388728527).

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

51220702314496 is a wasteful number, since it uses less digits than its factorization.

51220702314496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 51220702314496 in words is "fifty-one trillion, two hundred twenty billion, seven hundred two million, three hundred fourteen thousand, four hundred ninety-six".