5340882777600 has 480 divisors, whose sum is σ = 18095733111456. Its totient is φ = 1387796889600.

The previous prime is 5340882777511. The next prime is 5340882777661. The reversal of 5340882777600 is 67772880435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1758603282 + ... + 1758606318.

Almost surely, 2^{5340882777600} is an apocalyptic number.

5340882777600 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 5340882777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047866555728).

5340882777600 is an abundant number, since it is smaller than the sum of its proper divisors (12754850333856).

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

5340882777600 is a wasteful number, since it uses less digits than its factorization.

5340882777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 5340882777600 in words is "five trillion, three hundred forty billion, eight hundred eighty-two million, seven hundred seventy-seven thousand, six hundred".