5759766061056 has 672 divisors, whose sum is σ = 20099180792160. Its totient is φ = 1645647446016.

The previous prime is 5759766061003. The next prime is 5759766061157. The reversal of 5759766061056 is 6501606679575.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5759766061056 is a `hidden beast` number, since 5 + 7 + 5 + 9 + 7 + 6 + 6 + 0 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 5759766060984 and 5759766061002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822823723005 + ... + 822823723011.

Almost surely, 2^{5759766061056} is an apocalyptic number.

5759766061056 is a gapful number since it is divisible by the number (56) 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 5759766061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10049590396080).

5759766061056 is an abundant number, since it is smaller than the sum of its proper divisors (14339414731104).

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

5759766061056 is an frugal number, since it uses more digits than its factorization.

5759766061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 5759766061056 in words is "five trillion, seven hundred fifty-nine billion, seven hundred sixty-six million, sixty-one thousand, fifty-six".