51263278940160 has 2880 divisors, whose sum is σ = 233903024784000. Its totient is φ = 10110621450240.

The previous prime is 51263278940117. The next prime is 51263278940189. The reversal of 51263278940160 is 6104987236215.

It is a happy number.

51263278940160 is a `hidden beast` number, since 5 + 126 + 3 + 278 + 94 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a junction number, because it is equal to n+sod(n) for n = 51263278940097 and 51263278940106.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1653654159345 + ... + 1653654159375.

It is an arithmetic number, because the mean of its divisors is an integer number (81216328050).

It is a 1-persistent number, because it is pandigital, but 2⋅51263278940160 = 102526557880320 is not.

Almost surely, 2^{51263278940160} 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 51263278940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116951512392000).

51263278940160 is an abundant number, since it is smaller than the sum of its proper divisors (182639745843840).

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

51263278940160 is an equidigital number, since it uses as much as digits as its factorization.

51263278940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 51263278940160 in words is "fifty-one trillion, two hundred sixty-three billion, two hundred seventy-eight million, nine hundred forty thousand, one hundred sixty".