1059493938720 has 576 divisors, whose sum is σ = 4138486732800. Its totient is φ = 226512599040.

The previous prime is 1059493938707. The next prime is 1059493938749. The reversal of 1059493938720 is 278393949501.

It is a super-2 number, since 2×1059493938720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35288515 + ... + 35318525.

It is an arithmetic number, because the mean of its divisors is an integer number (7184872800).

Almost surely, 2^{1059493938720} is an apocalyptic number.

1059493938720 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 1059493938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069243366400).

1059493938720 is an abundant number, since it is smaller than the sum of its proper divisors (3078992794080).

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

1059493938720 is a wasteful number, since it uses less digits than its factorization.

1059493938720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30141 (or 30126 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 1059493938720 in words is "one trillion, fifty-nine billion, four hundred ninety-three million, nine hundred thirty-eight thousand, seven hundred twenty".