5029635144960 has 864 divisors, whose sum is σ = 18888572914848. Its totient is φ = 1230923366400.

The previous prime is 5029635144931. The next prime is 5029635144983. The reversal of 5029635144960 is 694415369205.

5029635144960 is a `hidden beast` number, since 5 + 0 + 2 + 9 + 63 + 514 + 4 + 9 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9597729024 + 5020037415936 = 97968^2 + 2240544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5029635144897 and 5029635144906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1795655560 + ... + 1795658360.

It is an arithmetic number, because the mean of its divisors is an integer number (21861774207).

Almost surely, 2^{5029635144960} 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 5029635144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444286457424).

5029635144960 is an abundant number, since it is smaller than the sum of its proper divisors (13858937769888).

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

5029635144960 is a wasteful number, since it uses less digits than its factorization.

5029635144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 5029635144960 in words is "five trillion, twenty-nine billion, six hundred thirty-five million, one hundred forty-four thousand, nine hundred sixty".