1059504000 has 128 divisors (see below), whose sum is σ = 3512414880. Its totient is φ = 282521600.

The previous prime is 1059503923. The next prime is 1059504023. The reversal of 1059504000 is 4059501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1059504000² = 2245097452032000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36964 + ... + 59036.

Almost surely, 2^1059504000 is an apocalyptic number.

1059504000 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 1059504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756207440).

1059504000 is an abundant number, since it is smaller than the sum of its proper divisors (2452910880).

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

1059504000 is an equidigital number, since it uses as much as digits as its factorization.

1059504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22105 (or 22083 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1059504000 is about 32550.0230414665. The cubic root of 1059504000 is about 1019.4537636608.

The spelling of 1059504000 in words is "one billion, fifty-nine million, five hundred four thousand".