5269313046400 has 384 divisors, whose sum is σ = 15115937205600. Its totient is φ = 1798225920000.

The previous prime is 5269313046397. The next prime is 5269313046409. The reversal of 5269313046400 is 46403139625.

It is a super-2 number, since 2×5269313046400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5269313046409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32325100 + ... + 32487700.

Almost surely, 2^{5269313046400} is an apocalyptic number.

5269313046400 is a gapful number since it is divisible by the number (50) 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 5269313046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557968602800).

5269313046400 is an abundant number, since it is smaller than the sum of its proper divisors (9846624159200).

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

5269313046400 is a wasteful number, since it uses less digits than its factorization.

5269313046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162698 (or 162681 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 5269313046400 in words is "five trillion, two hundred sixty-nine billion, three hundred thirteen million, forty-six thousand, four hundred".