1059313334496 has 288 divisors, whose sum is σ = 2987057461248. Its totient is φ = 328624742400.

The previous prime is 1059313334483. The next prime is 1059313334501. The reversal of 1059313334496 is 6944333139501.

It is a happy number.

It is a super-2 number, since 2×1059313334496² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227477361 + ... + 1227478223.

It is an arithmetic number, because the mean of its divisors is an integer number (10371727296).

Almost surely, 2^{1059313334496} is an apocalyptic number.

1059313334496 is a gapful number since it is divisible by the number (16) 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 1059313334496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493528730624).

1059313334496 is an abundant number, since it is smaller than the sum of its proper divisors (1927744126752).

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

1059313334496 is a wasteful number, since it uses less digits than its factorization.

1059313334496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 51.

The spelling of 1059313334496 in words is "one trillion, fifty-nine billion, three hundred thirteen million, three hundred thirty-four thousand, four hundred ninety-six".