1059824683104 has 384 divisors, whose sum is σ = 3201751203840. Its totient is φ = 303834009600.

The previous prime is 1059824683097. The next prime is 1059824683133. The reversal of 1059824683104 is 4013864289501.

It is a super-2 number, since 2×1059824683104² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 1434133167 + ... + 1434133905.

It is an arithmetic number, because the mean of its divisors is an integer number (8337893760).

Almost surely, 2^{1059824683104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1059824683104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600875601920).

1059824683104 is an abundant number, since it is smaller than the sum of its proper divisors (2141926520736).

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

1059824683104 is a wasteful number, since it uses less digits than its factorization.

1059824683104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 1059824683104 in words is "one trillion, fifty-nine billion, eight hundred twenty-four million, six hundred eighty-three thousand, one hundred four".