61416260785672 has 32 divisors (see below), whose sum is σ = 124014040479000. Its totient is φ = 28345866637824.

The previous prime is 61416260785669. The next prime is 61416260785673. The reversal of 61416260785672 is 27658706261416.

61416260785672 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 37629317507076 + 23786943278596 = 6134274^2 + 4877186^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61416260785672.

It is not an unprimeable number, because it can be changed into a prime (61416260785673) by changing a digit.

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, 34390218 + ... + 36131974.

Almost surely, 2^{61416260785672} is an apocalyptic number.

It is an amenable number.

61416260785672 is an abundant number, since it is smaller than the sum of its proper divisors (62597779693328).

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

61416260785672 is a wasteful number, since it uses less digits than its factorization.

61416260785672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080825 (or 2080821 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 61416260785672 in words is "sixty-one trillion, four hundred sixteen billion, two hundred sixty million, seven hundred eighty-five thousand, six hundred seventy-two".