66057115100004 has 54 divisors (see below), whose sum is σ = 194239374168294. Its totient is φ = 18873461456640.

The previous prime is 66057115099993. The next prime is 66057115100023. The reversal of 66057115100004 is 40000151175066.

It is a happy number.

66057115100004 is a `hidden beast` number, since 6 + 60 + 571 + 15 + 10 + 0 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64913669837604 + 1143445262400 = 8056902^2 + 1069320^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18723670317 + ... + 18723673844.

It is an arithmetic number, because the mean of its divisors is an integer number (3597025447561).

Almost surely, 2^{66057115100004} is an apocalyptic number.

It is an amenable number.

66057115100004 is an abundant number, since it is smaller than the sum of its proper divisors (128182259068290).

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

66057115100004 is a wasteful number, since it uses less digits than its factorization.

66057115100004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37447344185 (or 37447344173 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 66057115100004 in words is "sixty-six trillion, fifty-seven billion, one hundred fifteen million, one hundred thousand, four".