5675750166240 has 3072 divisors, whose sum is σ = 27423277056000. Its totient is φ = 1060770816000.

The previous prime is 5675750166223. The next prime is 5675750166253. The reversal of 5675750166240 is 426610575765.

It is a happy number.

5675750166240 is a `hidden beast` number, since 5 + 6 + 7 + 5 + 7 + 5 + 0 + 1 + 6 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11559572395 + ... + 11559572885.

It is an arithmetic number, because the mean of its divisors is an integer number (8926848000).

Almost surely, 2^{5675750166240} 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 5675750166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13711638528000).

5675750166240 is an abundant number, since it is smaller than the sum of its proper divisors (21747526889760).

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

5675750166240 is a wasteful number, since it uses less digits than its factorization.

5675750166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 5675750166240 in words is "five trillion, six hundred seventy-five billion, seven hundred fifty million, one hundred sixty-six thousand, two hundred forty".