5382945785070 has 1024 divisors, whose sum is σ = 18806224896000. Its totient is φ = 1089058037760.

The previous prime is 5382945784999. The next prime is 5382945785071. The reversal of 5382945785070 is 705875492835.

5382945785070 is a `hidden beast` number, since 5 + 3 + 8 + 2 + 9 + 4 + 578 + 50 + 7 + 0 = 666.

It is a super-2 number, since 2×5382945785070² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5382945784989 and 5382945785007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382945785071) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 2208839892 + ... + 2208842328.

It is an arithmetic number, because the mean of its divisors is an integer number (18365454000).

Almost surely, 2^{5382945785070} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5382945785070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9403112448000).

5382945785070 is an abundant number, since it is smaller than the sum of its proper divisors (13423279110930).

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

5382945785070 is a wasteful number, since it uses less digits than its factorization.

5382945785070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 5382945785070 in words is "five trillion, three hundred eighty-two billion, nine hundred forty-five million, seven hundred eighty-five thousand, seventy".