66129133888896 has 128 divisors (see below), whose sum is σ = 200294973093600. Its totient is φ = 19150518386688.

The previous prime is 66129133888891. The next prime is 66129133888963. The reversal of 66129133888896 is 69888833192166.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66129133888891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 389533431 + ... + 389703158.

Almost surely, 2^{66129133888896} is an apocalyptic number.

It is an amenable number.

66129133888896 is an abundant number, since it is smaller than the sum of its proper divisors (134165839204704).

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

66129133888896 is a wasteful number, since it uses less digits than its factorization.

66129133888896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779236636 (or 779236624 counting only the distinct ones).

The product of its digits is 1289945088, while the sum is 78.

The spelling of 66129133888896 in words is "sixty-six trillion, one hundred twenty-nine billion, one hundred thirty-three million, eight hundred eighty-eight thousand, eight hundred ninety-six".