1067872959540 has 144 divisors (see below), whose sum is σ = 3333104925696. Its totient is φ = 276574348800.

The previous prime is 1067872959509. The next prime is 1067872959547. The reversal of 1067872959540 is 459592787601.

1067872959540 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 87 + 2 + 9 + 5 + 9 + 540 = 666.

It is a super-2 number, since 2×1067872959540² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067872959547) 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 47 ways as a sum of consecutive naturals, for example, 1321305 + ... + 1970175.

It is an arithmetic number, because the mean of its divisors is an integer number (23146561984).

Almost surely, 2^{1067872959540} is an apocalyptic number.

1067872959540 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 1067872959540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666552462848).

1067872959540 is an abundant number, since it is smaller than the sum of its proper divisors (2265231966156).

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

1067872959540 is a wasteful number, since it uses less digits than its factorization.

1067872959540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649150 (or 649145 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 1067872959540 in words is "one trillion, sixty-seven billion, eight hundred seventy-two million, nine hundred fifty-nine thousand, five hundred forty".