1058791878144 has 1920 divisors, whose sum is σ = 4308600231936. Its totient is φ = 241532928000.

The previous prime is 1058791878107. The next prime is 1058791878149. The reversal of 1058791878144 is 4418781978501.

1058791878144 is a `hidden beast` number, since 1 + 0 + 587 + 9 + 1 + 8 + 7 + 8 + 1 + 44 = 666.

It is a super-2 number, since 2×1058791878144² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058791878149) 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 191 ways as a sum of consecutive naturals, for example, 14912561629 + ... + 14912561699.

Almost surely, 2^{1058791878144} is an apocalyptic number.

1058791878144 is a gapful number since it is divisible by the number (14) 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 1058791878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154300115968).

1058791878144 is an abundant number, since it is smaller than the sum of its proper divisors (3249808353792).

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

1058791878144 is a wasteful number, since it uses less digits than its factorization.

1058791878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 1058791878144 in words is "one trillion, fifty-eight billion, seven hundred ninety-one million, eight hundred seventy-eight thousand, one hundred forty-four".