10665442125000 has 1680 divisors, whose sum is σ = 42347945439360. Its totient is φ = 2501928000000.

The previous prime is 10665442124983. The next prime is 10665442125017. The reversal of 10665442125000 is 52124456601.

10665442125000 is a `hidden beast` number, since 1 + 0 + 66 + 54 + 42 + 1 + 2 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10665442124983) and next prime (10665442125017).

It is a super-2 number, since 2×10665442125000² (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 (23) of ones.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 39355874865 + ... + 39355875135.

Almost surely, 2^{10665442125000} is an apocalyptic number.

10665442125000 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 10665442125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21173972719680).

10665442125000 is an abundant number, since it is smaller than the sum of its proper divisors (31682503314360).

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

10665442125000 is an equidigital number, since it uses as much as digits as its factorization.

10665442125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10665442125000 in words is "ten trillion, six hundred sixty-five billion, four hundred forty-two million, one hundred twenty-five thousand".