1055086560 has 288 divisors, whose sum is σ = 4074924672. Its totient is φ = 255674880.

The previous prime is 1055086559. The next prime is 1055086601. The reversal of 1055086560 is 656805501.

1055086560 is a `hidden beast` number, since 10 + 5 + 5 + 0 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1055086560² = 2226415298185267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426447 + ... + 428913.

It is an arithmetic number, because the mean of its divisors is an integer number (14149044).

Almost surely, 2^1055086560 is an apocalyptic number.

1055086560 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 1055086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037462336).

1055086560 is an abundant number, since it is smaller than the sum of its proper divisors (3019838112).

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

1055086560 is a wasteful number, since it uses less digits than its factorization.

1055086560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 1055086560 is about 32482.0959914843. The cubic root of 1055086560 is about 1018.0349711303.

The spelling of 1055086560 in words is "one billion, fifty-five million, eighty-six thousand, five hundred sixty".