61889714305056 has 240 divisors, whose sum is σ = 198593173880640. Its totient is φ = 18751593208320.

The previous prime is 61889714305043. The next prime is 61889714305079. The reversal of 61889714305056 is 65050341798816.

61889714305056 is a `hidden beast` number, since 6 + 1 + 8 + 8 + 97 + 1 + 4 + 30 + 505 + 6 = 666.

It is a super-2 number, since 2×61889714305056² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61889714304984 and 61889714305002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190269150 + ... + 190594146.

It is an arithmetic number, because the mean of its divisors is an integer number (827471557836).

Almost surely, 2^{61889714305056} is an apocalyptic number.

61889714305056 is a gapful number since it is divisible by the number (66) 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 61889714305056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99296586940320).

61889714305056 is an abundant number, since it is smaller than the sum of its proper divisors (136703459575584).

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

61889714305056 is a wasteful number, since it uses less digits than its factorization.

61889714305056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331709 (or 331692 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 61889714305056 in words is "sixty-one trillion, eight hundred eighty-nine billion, seven hundred fourteen million, three hundred five thousand, fifty-six".