5487591691296 has 576 divisors, whose sum is σ = 18969996165120. Its totient is φ = 1481939712000.

The previous prime is 5487591691259. The next prime is 5487591691313. The reversal of 5487591691296 is 6921961957845.

5487591691296 is a `hidden beast` number, since 5 + 4 + 8 + 7 + 591 + 6 + 9 + 1 + 29 + 6 = 666.

It is a super-2 number, since 2×5487591691296² (a number of 26 digits) contains 22 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 560468161 + ... + 560477951.

It is an arithmetic number, because the mean of its divisors is an integer number (32934021120).

Almost surely, 2^{5487591691296} 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 5487591691296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9484998082560).

5487591691296 is an abundant number, since it is smaller than the sum of its proper divisors (13482404473824).

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

5487591691296 is a wasteful number, since it uses less digits than its factorization.

5487591691296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10301 (or 10290 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

The spelling of 5487591691296 in words is "five trillion, four hundred eighty-seven billion, five hundred ninety-one million, six hundred ninety-one thousand, two hundred ninety-six".