5537528283456 has 896 divisors, whose sum is σ = 18968898816000. Its totient is φ = 1569767620608.

The previous prime is 5537528283449. The next prime is 5537528283479. The reversal of 5537528283456 is 6543828257355.

5537528283456 is a `hidden beast` number, since 5 + 5 + 3 + 7 + 5 + 282 + 8 + 345 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5537528283393 and 5537528283402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2442666835 + ... + 2442669101.

It is an arithmetic number, because the mean of its divisors is an integer number (21170646000).

Almost surely, 2^{5537528283456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5537528283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9484449408000).

5537528283456 is an abundant number, since it is smaller than the sum of its proper divisors (13431370532544).

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

5537528283456 is a wasteful number, since it uses less digits than its factorization.

5537528283456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2460 counting only the distinct ones).

The product of its digits is 241920000, while the sum is 63.

The spelling of 5537528283456 in words is "five trillion, five hundred thirty-seven billion, five hundred twenty-eight million, two hundred eighty-three thousand, four hundred fifty-six".