1058867311680 has 448 divisors, whose sum is σ = 3868943443200. Its totient is φ = 272297410560.

The previous prime is 1058867311561. The next prime is 1058867311699. The reversal of 1058867311680 is 861137688501.

1058867311680 is a `hidden beast` number, since 10 + 588 + 6 + 7 + 31 + 16 + 8 + 0 = 666.

It is a super-2 number, since 2×1058867311680² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258826435 + ... + 258830525.

Almost surely, 2^{1058867311680} is an apocalyptic number.

1058867311680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058867311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934471721600).

1058867311680 is an abundant number, since it is smaller than the sum of its proper divisors (2810076131520).

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

1058867311680 is a wasteful number, since it uses less digits than its factorization.

1058867311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1058867311680 in words is "one trillion, fifty-eight billion, eight hundred sixty-seven million, three hundred eleven thousand, six hundred eighty".