61820802192500 has 60 divisors (see below), whose sum is σ = 145588940329140. Its totient is φ = 22826142336000.

The previous prime is 61820802192473. The next prime is 61820802192533. The reversal of 61820802192500 is 529120802816.

61820802192500 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 10 ways, for example, as 46907951727844 + 14912850464656 = 6848938^2 + 3861716^2 .

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 19 ways as a sum of consecutive naturals, for example, 951056765 + ... + 951121764.

It is an arithmetic number, because the mean of its divisors is an integer number (2426482338819).

Almost surely, 2^{61820802192500} is an apocalyptic number.

It is an amenable number.

61820802192500 is an abundant number, since it is smaller than the sum of its proper divisors (83768138136640).

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

61820802192500 is a wasteful number, since it uses less digits than its factorization.

61820802192500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902178566 (or 1902178549 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 61820802192500 in words is "sixty-one trillion, eight hundred twenty billion, eight hundred two million, one hundred ninety-two thousand, five hundred".