5752339014240 has 3840 divisors, whose sum is σ = 27867248640000. Its totient is φ = 1112712007680.

The previous prime is 5752339014239. The next prime is 5752339014277. The reversal of 5752339014240 is 424109332575.

It is a happy number.

5752339014240 is a `hidden beast` number, since 5 + 7 + 5 + 2 + 3 + 390 + 14 + 240 = 666.

It is a super-2 number, since 2×5752339014240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 185559323025 + ... + 185559323055.

It is an arithmetic number, because the mean of its divisors is an integer number (7257096000).

Almost surely, 2^{5752339014240} 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 5752339014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933624320000).

5752339014240 is an abundant number, since it is smaller than the sum of its proper divisors (22114909625760).

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

5752339014240 is a wasteful number, since it uses less digits than its factorization.

5752339014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 5752339014240 in words is "five trillion, seven hundred fifty-two billion, three hundred thirty-nine million, fourteen thousand, two hundred forty".