51017120720000 has 120 divisors (see below), whose sum is σ = 127008962922765. Its totient is φ = 20406040192000.

The previous prime is 51017120719967. The next prime is 51017120720011. The reversal of 51017120720000 is 2702171015.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 4094730319936 + 46922390400064 = 2023544^2 + 6849992^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5050600.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2020227374 + ... + 2020252626.

Almost surely, 2^{51017120720000} is an apocalyptic number.

51017120720000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51017120720000

51017120720000 is an abundant number, since it is smaller than the sum of its proper divisors (75991842202765).

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

51017120720000 is an frugal number, since it uses more digits than its factorization.

51017120720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50540 (or 25260 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

Adding to 51017120720000 its reverse (2702171015), we get a palindrome (51019822891015).

The spelling of 51017120720000 in words is "fifty-one trillion, seventeen billion, one hundred twenty million, seven hundred twenty thousand".