10667220480000 has 1300 divisors, whose sum is σ = 45514592230800. Its totient is φ = 2437890048000.

The previous prime is 10667220479977. The next prime is 10667220480011. The reversal of 10667220480000 is 8402276601.

10667220480000 is a `hidden beast` number, since 106 + 6 + 72 + 2 + 0 + 480 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10667220480000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1451516326 + ... + 1451523674.

Almost surely, 2^{10667220480000} is an apocalyptic number.

10667220480000 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 10667220480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22757296115400).

10667220480000 is an abundant number, since it is smaller than the sum of its proper divisors (34847371750800).

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

10667220480000 is an frugal number, since it uses more digits than its factorization.

10667220480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10667220480000 in words is "ten trillion, six hundred sixty-seven billion, two hundred twenty million, four hundred eighty thousand".