1056087305280 has 840 divisors, whose sum is σ = 4488549734592. Its totient is φ = 230875121664.

The previous prime is 1056087305269. The next prime is 1056087305293. The reversal of 1056087305280 is 825037806501.

1056087305280 is a `hidden beast` number, since 1 + 0 + 5 + 60 + 8 + 7 + 305 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×1056087305280² (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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95976259 + ... + 95987261.

Almost surely, 2^{1056087305280} is an apocalyptic number.

1056087305280 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 1056087305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244274867296).

1056087305280 is an abundant number, since it is smaller than the sum of its proper divisors (3432462429312).

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

1056087305280 is a wasteful number, since it uses less digits than its factorization.

1056087305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11085 (or 11043 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1056087305280 in words is "one trillion, fifty-six billion, eighty-seven million, three hundred five thousand, two hundred eighty".