166464508860000 has 3840 divisors, whose sum is σ = 716175250560000. Its totient is φ = 37247164416000.

The previous prime is 166464508859953. The next prime is 166464508860007. The reversal of 166464508860000 is 68805464661.

166464508860000 is a `hidden beast` number, since 16 + 6 + 4 + 64 + 508 + 8 + 60 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166464508860007) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 439220339811 + ... + 439220340189.

It is an arithmetic number, because the mean of its divisors is an integer number (186503971500).

Almost surely, 2^{166464508860000} is an apocalyptic number.

166464508860000 is a gapful number since it is divisible by the number (10) 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 166464508860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358087625280000).

166464508860000 is an abundant number, since it is smaller than the sum of its proper divisors (549710741700000).

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

166464508860000 is a wasteful number, since it uses less digits than its factorization.

166464508860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 166464508860000 in words is "one hundred sixty-six trillion, four hundred sixty-four billion, five hundred eight million, eight hundred sixty thousand".