5277399891456 has 1920 divisors, whose sum is σ = 19661461585920. Its totient is φ = 1226244096000.

The previous prime is 5277399891403. The next prime is 5277399891523. The reversal of 5277399891456 is 6541989937725.

It is a super-2 number, since 2×5277399891456² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 54406184400 + ... + 54406184496.

It is an arithmetic number, because the mean of its divisors is an integer number (10240344576).

Almost surely, 2^{5277399891456} is an apocalyptic number.

5277399891456 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 5277399891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9830730792960).

5277399891456 is an abundant number, since it is smaller than the sum of its proper divisors (14384061694464).

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

5277399891456 is a wasteful number, since it uses less digits than its factorization.

5277399891456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 241 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 75.

The spelling of 5277399891456 in words is "five trillion, two hundred seventy-seven billion, three hundred ninety-nine million, eight hundred ninety-one thousand, four hundred fifty-six".