5759693856 has 288 divisors, whose sum is σ = 20167999488. Its totient is φ = 1522920960.

The previous prime is 5759693809. The next prime is 5759693861. The reversal of 5759693856 is 6583969575.

5759693856 is a `hidden beast` number, since 5 + 7 + 596 + 9 + 38 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 5759693793 and 5759693802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1435405 + ... + 1439411.

It is an arithmetic number, because the mean of its divisors is an integer number (70027776).

Almost surely, 2^5759693856 is an apocalyptic number.

5759693856 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 5759693856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083999744).

5759693856 is an abundant number, since it is smaller than the sum of its proper divisors (14408305632).

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

5759693856 is a wasteful number, since it uses less digits than its factorization.

5759693856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4073 counting only the distinct ones).

The product of its digits is 61236000, while the sum is 63.

The square root of 5759693856 is about 75892.6469165492. The cubic root of 5759693856 is about 1792.5301398386.

The spelling of 5759693856 in words is "five billion, seven hundred fifty-nine million, six hundred ninety-three thousand, eight hundred fifty-six".