5870357146080 has 768 divisors, whose sum is σ = 24885683343360. Its totient is φ = 1261699006464.

The previous prime is 5870357146051. The next prime is 5870357146109. The reversal of 5870357146080 is 806417530785.

It is a happy number.

5870357146080 is a `hidden beast` number, since 5 + 8 + 7 + 0 + 3 + 571 + 4 + 60 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5870357146051) and next prime (5870357146109).

It is a super-2 number, since 2×5870357146080² (a number of 26 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 628715172 + ... + 628724508.

It is an arithmetic number, because the mean of its divisors is an integer number (32403233520).

Almost surely, 2^{5870357146080} 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 5870357146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12442841671680).

5870357146080 is an abundant number, since it is smaller than the sum of its proper divisors (19015326197280).

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

5870357146080 is a wasteful number, since it uses less digits than its factorization.

5870357146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10608 (or 10594 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 5870357146080 in words is "five trillion, eight hundred seventy billion, three hundred fifty-seven million, one hundred forty-six thousand, eighty".