1059258816 has 448 divisors, whose sum is σ = 4096512000. Its totient is φ = 260029440.

The previous prime is 1059258779. The next prime is 1059258817. The reversal of 1059258816 is 6188529501.

It is a happy number.

1059258816 is a `hidden beast` number, since 1 + 0 + 59 + 2 + 588 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1059258816² = 2244058478547443712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059258817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2527855 + ... + 2528273.

It is an arithmetic number, because the mean of its divisors is an integer number (9144000).

Almost surely, 2^1059258816 is an apocalyptic number.

1059258816 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 1059258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256000).

1059258816 is an abundant number, since it is smaller than the sum of its proper divisors (3037253184).

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

1059258816 is a wasteful number, since it uses less digits than its factorization.

1059258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1059258816 is about 32546.2565589347. The cubic root of 1059258816 is about 1019.3751189884.

The spelling of 1059258816 in words is "one billion, fifty-nine million, two hundred fifty-eight thousand, eight hundred sixteen".