61756116793056 has 720 divisors, whose sum is σ = 218754611615232. Its totient is φ = 17023477363200.

The previous prime is 61756116793051. The next prime is 61756116793073. The reversal of 61756116793056 is 65039761165716.

61756116793056 is a `hidden beast` number, since 6 + 1 + 7 + 5 + 611 + 6 + 7 + 9 + 3 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×61756116793056² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 61756116792984 and 61756116793002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61756116793051) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1303205395 + ... + 1303252781.

Almost surely, 2^{61756116793056} 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 61756116793056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109377305807616).

61756116793056 is an abundant number, since it is smaller than the sum of its proper divisors (156998494822176).

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

61756116793056 is a wasteful number, since it uses less digits than its factorization.

61756116793056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47785 (or 47761 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 61756116793056 in words is "sixty-one trillion, seven hundred fifty-six billion, one hundred sixteen million, seven hundred ninety-three thousand, fifty-six".