1058407354368 has 832 divisors, whose sum is σ = 3883870771200. Its totient is φ = 277364736000.

The previous prime is 1058407354337. The next prime is 1058407354391. The reversal of 1058407354368 is 8634537048501.

1058407354368 is a `hidden beast` number, since 1 + 0 + 58 + 40 + 7 + 3 + 543 + 6 + 8 = 666.

1058407354368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×1058407354368² (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, 2526031663 + ... + 2526032081.

Almost surely, 2^{1058407354368} is an apocalyptic number.

1058407354368 is a gapful number since it is divisible by the number (18) 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 1058407354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941935385600).

1058407354368 is an abundant number, since it is smaller than the sum of its proper divisors (2825463416832).

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

1058407354368 is a wasteful number, since it uses less digits than its factorization.

1058407354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1058407354368 in words is "one trillion, fifty-eight billion, four hundred seven million, three hundred fifty-four thousand, three hundred sixty-eight".