51528953166880 has 240 divisors, whose sum is σ = 142607770190424. Its totient is φ = 17593730703360.

The previous prime is 51528953166877. The next prime is 51528953166937. The reversal of 51528953166880 is 8866135982515.

It can be written as a sum of positive squares in 4 ways, for example, as 29440043553424 + 22088909613456 = 5425868^2 + 4699884^2 .

It is a super-2 number, since 2×51528953166880² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92304274 + ... + 92860846.

Almost surely, 2^{51528953166880} 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 51528953166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71303885095212).

51528953166880 is an abundant number, since it is smaller than the sum of its proper divisors (91078817023544).

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

51528953166880 is an equidigital number, since it uses as much as digits as its factorization.

51528953166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556857 (or 556828 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 67.

The spelling of 51528953166880 in words is "fifty-one trillion, five hundred twenty-eight billion, nine hundred fifty-three million, one hundred sixty-six thousand, eight hundred eighty".