5748724248960 has 2304 divisors, whose sum is σ = 24435697809600. Its totient is φ = 1144494489600.

The previous prime is 5748724248959. The next prime is 5748724248961. The reversal of 5748724248960 is 698424278475.

It is an interprime number because it is at equal distance from previous prime (5748724248959) and next prime (5748724248961).

It is a super-2 number, since 2×5748724248960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 5748724248891 and 5748724248900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5748724248961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50873665864 + ... + 50873665976.

Almost surely, 2^{5748724248960} 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 5748724248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12217848904800).

5748724248960 is an abundant number, since it is smaller than the sum of its proper divisors (18686973560640).

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

5748724248960 is a wasteful number, since it uses less digits than its factorization.

5748724248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 66.

The spelling of 5748724248960 in words is "five trillion, seven hundred forty-eight billion, seven hundred twenty-four million, two hundred forty-eight thousand, nine hundred sixty".