971893257768 has 32 divisors (see below), whose sum is σ = 2699703494400. Its totient is φ = 323964419184.

The previous prime is 971893257767. The next prime is 971893257799. The reversal of 971893257768 is 867752398179.

971893257768 is a `hidden beast` number, since 9 + 7 + 18 + 9 + 32 + 577 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 971893257696 and 971893257705.

It is not an unprimeable number, because it can be changed into a prime (971893257767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2249752696 + ... + 2249753127.

It is an arithmetic number, because the mean of its divisors is an integer number (84365734200).

Almost surely, 2^971893257768 is an apocalyptic number.

It is an amenable number.

971893257768 is an abundant number, since it is smaller than the sum of its proper divisors (1727810236632).

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

971893257768 is a wasteful number, since it uses less digits than its factorization.

971893257768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499505838 (or 4499505828 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 72.

The spelling of 971893257768 in words is "nine hundred seventy-one billion, eight hundred ninety-three million, two hundred fifty-seven thousand, seven hundred sixty-eight".