1067990520960 has 768 divisors, whose sum is σ = 4194676886400. Its totient is φ = 257511260160.

The previous prime is 1067990520941. The next prime is 1067990520967. The reversal of 1067990520960 is 690250997601.

1067990520960 is a `hidden beast` number, since 106 + 7 + 9 + 9 + 0 + 520 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×1067990520960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1067990520897 and 1067990520906.

It is not an unprimeable number, because it can be changed into a prime (1067990520967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337010256 + ... + 337013424.

Almost surely, 2^{1067990520960} is an apocalyptic number.

1067990520960 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 1067990520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097338443200).

1067990520960 is an abundant number, since it is smaller than the sum of its proper divisors (3126686365440).

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

1067990520960 is a wasteful number, since it uses less digits than its factorization.

1067990520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 1067990520960 in words is "one trillion, sixty-seven billion, nine hundred ninety million, five hundred twenty thousand, nine hundred sixty".