51304411541120 has 64 divisors (see below), whose sum is σ = 123327231267240. Its totient is φ = 20408384655360.

The previous prime is 51304411541111. The next prime is 51304411541137. The reversal of 51304411541120 is 2114511440315.

51304411541120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8415429676096 + 42888981865024 = 2900936^2 + 6548968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221329307 + ... + 221560986.

Almost surely, 2^{51304411541120} is an apocalyptic number.

It is an amenable number.

51304411541120 is an abundant number, since it is smaller than the sum of its proper divisors (72022819726120).

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

51304411541120 is a wasteful number, since it uses less digits than its factorization.

51304411541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442890493 (or 442890481 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 51304411541120 its reverse (2114511440315), we get a palindrome (53418922981435).

The spelling of 51304411541120 in words is "fifty-one trillion, three hundred four billion, four hundred eleven million, five hundred forty-one thousand, one hundred twenty".