5291689777920 has 864 divisors, whose sum is σ = 22564666051200. Its totient is φ = 1114958462976.

The previous prime is 5291689777919. The next prime is 5291689777937. The reversal of 5291689777920 is 297779861925.

5291689777920 is a `hidden beast` number, since 529 + 1 + 6 + 8 + 9 + 7 + 7 + 7 + 92 + 0 = 666.

It is a super-3 number, since 3×5291689777920³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 869054236 + ... + 869060324.

Almost surely, 2^{5291689777920} 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 5291689777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11282333025600).

5291689777920 is an abundant number, since it is smaller than the sum of its proper divisors (17272976273280).

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

5291689777920 is a wasteful number, since it uses less digits than its factorization.

5291689777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 5291689777920 in words is "five trillion, two hundred ninety-one billion, six hundred eighty-nine million, seven hundred seventy-seven thousand, nine hundred twenty".