5283651158016 has 1536 divisors, whose sum is σ = 19278740275200. Its totient is φ = 1256089190400.

The previous prime is 5283651157997. The next prime is 5283651158029. The reversal of 5283651158016 is 6108511563825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 5283651158016.

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 95 ways as a sum of consecutive naturals, for example, 59366866900 + ... + 59366866988.

It is an arithmetic number, because the mean of its divisors is an integer number (12551263200).

Almost surely, 2^{5283651158016} is an apocalyptic number.

5283651158016 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 5283651158016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639370137600).

5283651158016 is an abundant number, since it is smaller than the sum of its proper divisors (13995089117184).

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

5283651158016 is a wasteful number, since it uses less digits than its factorization.

5283651158016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 51.

The spelling of 5283651158016 in words is "five trillion, two hundred eighty-three billion, six hundred fifty-one million, one hundred fifty-eight thousand, sixteen".