61010855313408 has 2340 divisors, whose sum is σ = 250130621287512. Its totient is φ = 14627977297920.

The previous prime is 61010855313407. The next prime is 61010855313451. The reversal of 61010855313408 is 80431355801016.

61010855313408 is a `hidden beast` number, since 6 + 1 + 0 + 1 + 0 + 85 + 531 + 34 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61010855313407) by changing a digit.

It is a polite number, since it can be written in 155 ways as a sum of consecutive naturals, for example, 4693142716410 + ... + 4693142716422.

Almost surely, 2^{61010855313408} 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 61010855313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125065310643756).

61010855313408 is an abundant number, since it is smaller than the sum of its proper divisors (189119765974104).

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

61010855313408 is an frugal number, since it uses more digits than its factorization.

61010855313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 61010855313408 in words is "sixty-one trillion, ten billion, eight hundred fifty-five million, three hundred thirteen thousand, four hundred eight".