66852653209920 has 448 divisors, whose sum is σ = 243484091136000. Its totient is φ = 17249817231360.

The previous prime is 66852653209913. The next prime is 66852653209931. The reversal of 66852653209920 is 2990235625866.

66852653209920 is a `hidden beast` number, since 6 + 6 + 8 + 5 + 2 + 6 + 532 + 0 + 9 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2527592856 + ... + 2527619304.

Almost surely, 2^{66852653209920} is an apocalyptic number.

66852653209920 is a gapful number since it is divisible by the number (60) 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 66852653209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121742045568000).

66852653209920 is an abundant number, since it is smaller than the sum of its proper divisors (176631437926080).

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

66852653209920 is a wasteful number, since it uses less digits than its factorization.

66852653209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35943 (or 35927 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 66852653209920 in words is "sixty-six trillion, eight hundred fifty-two billion, six hundred fifty-three million, two hundred nine thousand, nine hundred twenty".