61416504103120 has 20 divisors (see below), whose sum is σ = 142793372039940. Its totient is φ = 24566601641216.

The previous prime is 61416504103033. The next prime is 61416504103217. The reversal of 61416504103120 is 2130140561416.

61416504103120 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 2 ways, for example, as 24220020475456 + 37196483627664 = 4921384^2 + 6098892^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 383853150565 + ... + 383853150724.

It is an arithmetic number, because the mean of its divisors is an integer number (7139668601997).

Almost surely, 2^{61416504103120} is an apocalyptic number.

It is an amenable number.

61416504103120 is an abundant number, since it is smaller than the sum of its proper divisors (81376867936820).

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

61416504103120 is a wasteful number, since it uses less digits than its factorization.

61416504103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767706301302 (or 767706301296 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 61416504103120 its reverse (2130140561416), we get a palindrome (63546644664536).

The spelling of 61416504103120 in words is "sixty-one trillion, four hundred sixteen billion, five hundred four million, one hundred three thousand, one hundred twenty".