5748869812752 has 960 divisors, whose sum is σ = 20295341015040. Its totient is φ = 1554736550400.

The previous prime is 5748869812663. The next prime is 5748869812877. The reversal of 5748869812752 is 2572189688475.

5748869812752 is a `hidden beast` number, since 5 + 7 + 488 + 6 + 98 + 1 + 2 + 7 + 52 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

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 191 ways as a sum of consecutive naturals, for example, 1252201977 + ... + 1252206567.

It is an arithmetic number, because the mean of its divisors is an integer number (21140980224).

Almost surely, 2^{5748869812752} 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 5748869812752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10147670507520).

5748869812752 is an abundant number, since it is smaller than the sum of its proper divisors (14546471202288).

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

5748869812752 is a wasteful number, since it uses less digits than its factorization.

5748869812752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4716 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 72.

The spelling of 5748869812752 in words is "five trillion, seven hundred forty-eight billion, eight hundred sixty-nine million, eight hundred twelve thousand, seven hundred fifty-two".