66771041104000 has 128 divisors (see below), whose sum is σ = 166936935484800. Its totient is φ = 26559206272000.

The previous prime is 66771041103983. The next prime is 66771041104057. The reversal of 66771041104000 is 40114017766.

66771041104000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×66771041104000² (a number of 28 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, 8792956 + ... + 14520955.

It is an arithmetic number, because the mean of its divisors is an integer number (1304194808475).

Almost surely, 2^{66771041104000} is an apocalyptic number.

It is an amenable number.

66771041104000 is an abundant number, since it is smaller than the sum of its proper divisors (100165894380800).

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

66771041104000 is a wasteful number, since it uses less digits than its factorization.

66771041104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23314119 (or 23314097 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 66771041104000 in words is "sixty-six trillion, seven hundred seventy-one billion, forty-one million, one hundred four thousand".