1059742662000 has 320 divisors, whose sum is σ = 3818128624128. Its totient is φ = 250640640000.

The previous prime is 1059742661951. The next prime is 1059742662049. The reversal of 1059742662000 is 2662479501.

It is an interprime number because it is at equal distance from previous prime (1059742661951) and next prime (1059742662049).

It is a super-3 number, since 3×1059742662000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 2510187 + ... + 2901813.

Almost surely, 2^{1059742662000} is an apocalyptic number.

1059742662000 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 1059742662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909064312064).

1059742662000 is an abundant number, since it is smaller than the sum of its proper divisors (2758385962128).

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

1059742662000 is a wasteful number, since it uses less digits than its factorization.

1059742662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391705 (or 391689 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1059742662000 in words is "one trillion, fifty-nine billion, seven hundred forty-two million, six hundred sixty-two thousand".