5283451627776 has 243 divisors, whose sum is σ = 17723185280073. Its totient is φ = 1509336944640.

The previous prime is 5283451627717. The next prime is 5283451627777. The reversal of 5283451627776 is 6777261543825.

It is a happy number.

The square root of 5283451627776 is 2298576.

It is a perfect power (a square), and thus also a powerful number.

5283451627776 is a `hidden beast` number, since 5 + 2 + 8 + 345 + 16 + 277 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4008900946176 + 1274550681600 = 2002224^2 + 1128960^2 .

It is a super-2 number, since 2×5283451627776² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5283451627777) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 772318116 + ... + 772324956.

Almost surely, 2^{5283451627776} is an apocalyptic number.

5283451627776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5283451627776 is the 2298576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5283451627776

5283451627776 is an abundant number, since it is smaller than the sum of its proper divisors (12439733652297).

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

5283451627776 is an frugal number, since it uses more digits than its factorization.

5283451627776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13718 (or 6853 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 5283451627776 in words is "five trillion, two hundred eighty-three billion, four hundred fifty-one million, six hundred twenty-seven thousand, seven hundred seventy-six".