5209349501664 has 1152 divisors, whose sum is σ = 19621821542400. Its totient is φ = 1329386204160.

The previous prime is 5209349501663. The next prime is 5209349501717. The reversal of 5209349501664 is 4661059439025.

5209349501664 is a `hidden beast` number, since 5 + 2 + 0 + 93 + 49 + 501 + 6 + 6 + 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 5209349501664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5209349501663) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11866399557 + ... + 11866399995.

It is an arithmetic number, because the mean of its divisors is an integer number (17032831200).

Almost surely, 2^{5209349501664} is an apocalyptic number.

5209349501664 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 5209349501664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9810910771200).

5209349501664 is an abundant number, since it is smaller than the sum of its proper divisors (14412472040736).

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

5209349501664 is a wasteful number, since it uses less digits than its factorization.

5209349501664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 5209349501664 in words is "five trillion, two hundred nine billion, three hundred forty-nine million, five hundred one thousand, six hundred sixty-four".