57691968895008 has 576 divisors, whose sum is σ = 203022072594432. Its totient is φ = 15757058718720.

The previous prime is 57691968895003. The next prime is 57691968895079. The reversal of 57691968895008 is 80059886919675.

57691968895008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (57691968895003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2169591793 + ... + 2169618383.

It is an arithmetic number, because the mean of its divisors is an integer number (352468876032).

Almost surely, 2^{57691968895008} 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 57691968895008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101511036297216).

57691968895008 is an abundant number, since it is smaller than the sum of its proper divisors (145330103699424).

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

57691968895008 is a wasteful number, since it uses less digits than its factorization.

57691968895008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28379 (or 28359 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 81.

The spelling of 57691968895008 in words is "fifty-seven trillion, six hundred ninety-one billion, nine hundred sixty-eight million, eight hundred ninety-five thousand, eight".