1059415130880 has 144 divisors (see below), whose sum is σ = 3759452427360. Its totient is φ = 282510692352.

The previous prime is 1059415130803. The next prime is 1059415130923. The reversal of 1059415130880 is 880315149501.

1059415130880 is a `hidden beast` number, since 1 + 0 + 59 + 4 + 1 + 513 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1059415130880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15292627 + ... + 15361746.

Almost surely, 2^{1059415130880} is an apocalyptic number.

1059415130880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1059415130880 is an abundant number, since it is smaller than the sum of its proper divisors (2700037296480).

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

1059415130880 is an equidigital number, since it uses as much as digits as its factorization.

1059415130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30654403 (or 30654383 counting only the distinct ones).

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

The spelling of 1059415130880 in words is "one trillion, fifty-nine billion, four hundred fifteen million, one hundred thirty thousand, eight hundred eighty".