5350706532864 has 1920 divisors, whose sum is σ = 21139766968320. Its totient is φ = 1310548377600.

The previous prime is 5350706532851. The next prime is 5350706532889. The reversal of 5350706532864 is 4682356070535.

5350706532864 is a `hidden beast` number, since 5 + 3 + 507 + 0 + 6 + 53 + 2 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5350706532864.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12770182447 + ... + 12770182865.

It is an arithmetic number, because the mean of its divisors is an integer number (11010295296).

Almost surely, 2^{5350706532864} is an apocalyptic number.

5350706532864 is a gapful number since it is divisible by the number (54) 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 5350706532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569883484160).

5350706532864 is an abundant number, since it is smaller than the sum of its proper divisors (15789060435456).

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

5350706532864 is a wasteful number, since it uses less digits than its factorization.

5350706532864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 5350706532864 in words is "five trillion, three hundred fifty billion, seven hundred six million, five hundred thirty-two thousand, eight hundred sixty-four".