1067881140960 has 96 divisors (see below), whose sum is σ = 3364467230880. Its totient is φ = 284713986048.

The previous prime is 1067881140959. The next prime is 1067881140961. The reversal of 1067881140960 is 690411887601.

It is an interprime number because it is at equal distance from previous prime (1067881140959) and next prime (1067881140961).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1067881140960³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067881140961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338794 + ... + 2757846.

It is an arithmetic number, because the mean of its divisors is an integer number (35046533655).

Almost surely, 2^{1067881140960} is an apocalyptic number.

1067881140960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1067881140960 is an abundant number, since it is smaller than the sum of its proper divisors (2296586089920).

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

1067881140960 is a wasteful number, since it uses less digits than its factorization.

1067881140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424380 (or 424372 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 1067881140960 in words is "one trillion, sixty-seven billion, eight hundred eighty-one million, one hundred forty thousand, nine hundred sixty".