5829736872960 has 4224 divisors, whose sum is σ = 29225591635968. Its totient is φ = 1074954240000.

The previous prime is 5829736872889. The next prime is 5829736872983. The reversal of 5829736872960 is 692786379285.

5829736872960 is a `hidden beast` number, since 58 + 2 + 97 + 368 + 72 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-3 number, since 3×5829736872960³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 383 ways as a sum of consecutive naturals, for example, 38607528885 + ... + 38607529035.

Almost surely, 2^{5829736872960} 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 5829736872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14612795817984).

5829736872960 is an abundant number, since it is smaller than the sum of its proper divisors (23395854763008).

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

5829736872960 is a wasteful number, since it uses less digits than its factorization.

5829736872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 5829736872960 in words is "five trillion, eight hundred twenty-nine billion, seven hundred thirty-six million, eight hundred seventy-two thousand, nine hundred sixty".