1058077067680 has 192 divisors, whose sum is σ = 2675576655360. Its totient is φ = 394226832384.

The previous prime is 1058077067669. The next prime is 1058077067693. The reversal of 1058077067680 is 867607708501.

1058077067680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1058077067680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114667227 + ... + 114676453.

It is an arithmetic number, because the mean of its divisors is an integer number (13935295080).

Almost surely, 2^{1058077067680} is an apocalyptic number.

1058077067680 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 1058077067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337788327680).

1058077067680 is an abundant number, since it is smaller than the sum of its proper divisors (1617499587680).

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

1058077067680 is a wasteful number, since it uses less digits than its factorization.

1058077067680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9891 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 55.

The spelling of 1058077067680 in words is "one trillion, fifty-eight billion, seventy-seven million, sixty-seven thousand, six hundred eighty".