5209949262336 has 960 divisors, whose sum is σ = 17744897111040. Its totient is φ = 1329236213760.

The previous prime is 5209949262253. The next prime is 5209949262337. The reversal of 5209949262336 is 6332629499025.

It is a happy number.

It is a super-2 number, since 2×5209949262336² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5209949262336.

It is not an unprimeable number, because it can be changed into a prime (5209949262337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10235656450 + ... + 10235656958.

It is an arithmetic number, because the mean of its divisors is an integer number (18484267824).

Almost surely, 2^{5209949262336} is an apocalyptic number.

5209949262336 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 5209949262336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8872448555520).

5209949262336 is an abundant number, since it is smaller than the sum of its proper divisors (12534947848704).

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

5209949262336 is a wasteful number, since it uses less digits than its factorization.

5209949262336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 60.

The spelling of 5209949262336 in words is "five trillion, two hundred nine billion, nine hundred forty-nine million, two hundred sixty-two thousand, three hundred thirty-six".