1059097600000 has 336 divisors, whose sum is σ = 2888854757712. Its totient is φ = 385024000000.

The previous prime is 1059097599971. The next prime is 1059097600007. The reversal of 1059097600000 is 67909501.

It is a super-2 number, since 2×1059097600000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059097600007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281598120 + ... + 281601880.

It is an arithmetic number, because the mean of its divisors is an integer number (8597782017).

Almost surely, 2^{1059097600000} is an apocalyptic number.

1059097600000 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 1059097600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444427378856).

1059097600000 is an abundant number, since it is smaller than the sum of its proper divisors (1829757157712).

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

1059097600000 is an frugal number, since it uses more digits than its factorization.

1059097600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The spelling of 1059097600000 in words is "one trillion, fifty-nine billion, ninety-seven million, six hundred thousand".