1066164542000 has 80 divisors (see below), whose sum is σ = 2614295870784. Its totient is φ = 420459200000.

The previous prime is 1066164541993. The next prime is 1066164542017. The reversal of 1066164542000 is 2454616601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1066164542000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3612101 + ... + 3896100.

Almost surely, 2^{1066164542000} is an apocalyptic number.

1066164542000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066164542000 is an abundant number, since it is smaller than the sum of its proper divisors (1548131328784).

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

1066164542000 is an equidigital number, since it uses as much as digits as its factorization.

1066164542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508295 (or 7508279 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 1066164542000 in words is "one trillion, sixty-six billion, one hundred sixty-four million, five hundred forty-two thousand".