66528260172000 has 2304 divisors, whose sum is σ = 274373065774080. Its totient is φ = 15636741120000.

The previous prime is 66528260171999. The next prime is 66528260172001. The reversal of 66528260172000 is 27106282566.

66528260172000 is a `hidden beast` number, since 66 + 528 + 2 + 60 + 1 + 7 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66528260171999) and next prime (66528260172001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66528260172001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 121623875727 + ... + 121623876273.

It is an arithmetic number, because the mean of its divisors is an integer number (119085532020).

Almost surely, 2^{66528260172000} is an apocalyptic number.

66528260172000 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 66528260172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137186532887040).

66528260172000 is an abundant number, since it is smaller than the sum of its proper divisors (207844805602080).

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

66528260172000 is a wasteful number, since it uses less digits than its factorization.

66528260172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 66528260172000 in words is "sixty-six trillion, five hundred twenty-eight billion, two hundred sixty million, one hundred seventy-two thousand".