61059444609120 has 192 divisors, whose sum is σ = 198571842330624. Its totient is φ = 15754882037760.

The previous prime is 61059444609109. The next prime is 61059444609131. The reversal of 61059444609120 is 2190644495016.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61059444609109) and next prime (61059444609131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98688249 + ... + 99305031.

It is an arithmetic number, because the mean of its divisors is an integer number (1034228345472).

Almost surely, 2^{61059444609120} is an apocalyptic number.

61059444609120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61059444609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99285921165312).

61059444609120 is an abundant number, since it is smaller than the sum of its proper divisors (137512397721504).

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

61059444609120 is a wasteful number, since it uses less digits than its factorization.

61059444609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623485 (or 623477 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 61059444609120 in words is "sixty-one trillion, fifty-nine billion, four hundred forty-four million, six hundred nine thousand, one hundred twenty".