61493365280256 has 960 divisors, whose sum is σ = 208698955745280. Its totient is φ = 15665825710080.

The previous prime is 61493365280167. The next prime is 61493365280297. The reversal of 61493365280256 is 65208256339416.

It is a self number, because there is not a number n which added to its sum of digits gives 61493365280256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24392448276 + ... + 24392450796.

It is an arithmetic number, because the mean of its divisors is an integer number (217394745568).

Almost surely, 2^{61493365280256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61493365280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104349477872640).

61493365280256 is an abundant number, since it is smaller than the sum of its proper divisors (147205590465024).

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

61493365280256 is a wasteful number, since it uses less digits than its factorization.

61493365280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 60.

The spelling of 61493365280256 in words is "sixty-one trillion, four hundred ninety-three billion, three hundred sixty-five million, two hundred eighty thousand, two hundred fifty-six".