1026543006720 has 2112 divisors, whose sum is σ = 4838911488000. Its totient is φ = 203692769280.

The previous prime is 1026543006707. The next prime is 1026543006721. The reversal of 1026543006720 is 276003456201.

1026543006720 is a `hidden beast` number, since 10 + 26 + 543 + 0 + 0 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-4 number, since 4×1026543006720⁴ (a number of 49 digits) contains 4444 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 not an unprimeable number, because it can be changed into a prime (1026543006721) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1713760981 + ... + 1713761579.

Almost surely, 2^{1026543006720} is an apocalyptic number.

1026543006720 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 1026543006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419455744000).

1026543006720 is an abundant number, since it is smaller than the sum of its proper divisors (3812368481280).

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

1026543006720 is a wasteful number, since it uses less digits than its factorization.

1026543006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1026543006720 in words is "one trillion, twenty-six billion, five hundred forty-three million, six thousand, seven hundred twenty".