5283639148032 has 480 divisors, whose sum is σ = 18616603104000. Its totient is φ = 1474495819776.

The previous prime is 5283639148009. The next prime is 5283639148103. The reversal of 5283639148032 is 2308419363825.

5283639148032 is a `hidden beast` number, since 52 + 83 + 6 + 3 + 9 + 1 + 480 + 32 = 666.

It is a super-3 number, since 3×5283639148032³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5283639148032.

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, 29036469 + ... + 29217867.

It is an arithmetic number, because the mean of its divisors is an integer number (38784589800).

Almost surely, 2^{5283639148032} 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 5283639148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308301552000).

5283639148032 is an abundant number, since it is smaller than the sum of its proper divisors (13332963955968).

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

5283639148032 is a wasteful number, since it uses less digits than its factorization.

5283639148032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181483 (or 181454 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 5283639148032 in words is "five trillion, two hundred eighty-three billion, six hundred thirty-nine million, one hundred forty-eight thousand, thirty-two".