1056000106560 has 448 divisors, whose sum is σ = 3939992469504. Its totient is φ = 234598809600.

The previous prime is 1056000106549. The next prime is 1056000106561. The reversal of 1056000106560 is 656010006501.

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

It is a super-2 number, since 2×1056000106560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1056000106561) 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, 74658849 + ... + 74672991.

It is an arithmetic number, because the mean of its divisors is an integer number (8794626048).

Almost surely, 2^{1056000106560} is an apocalyptic number.

1056000106560 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 1056000106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969996234752).

1056000106560 is an abundant number, since it is smaller than the sum of its proper divisors (2883992362944).

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

1056000106560 is a wasteful number, since it uses less digits than its factorization.

1056000106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14482 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1056000106560 in words is "one trillion, fifty-six billion, one hundred six thousand, five hundred sixty".