5040664586496 has 864 divisors, whose sum is σ = 18851520280320. Its totient is φ = 1256900198400.

The previous prime is 5040664586459. The next prime is 5040664586591. The reversal of 5040664586496 is 6946854660405.

5040664586496 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 6 + 6 + 4 + 586 + 49 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 931211886 + ... + 931217298.

Almost surely, 2^{5040664586496} is an apocalyptic number.

5040664586496 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 5040664586496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425760140160).

5040664586496 is an abundant number, since it is smaller than the sum of its proper divisors (13810855693824).

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

5040664586496 is a wasteful number, since it uses less digits than its factorization.

5040664586496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 5040664586496 in words is "five trillion, forty billion, six hundred sixty-four million, five hundred eighty-six thousand, four hundred ninety-six".