166652911434240 has 3200 divisors, whose sum is σ = 788567028480000. Its totient is φ = 32588312739840.

The previous prime is 166652911434199. The next prime is 166652911434241. The reversal of 166652911434240 is 42434119256661.

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

It is not an unprimeable number, because it can be changed into a prime (166652911434241) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 47628724011 + ... + 47628727509.

It is an arithmetic number, because the mean of its divisors is an integer number (246427196400).

Almost surely, 2^{166652911434240} is an apocalyptic number.

166652911434240 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 166652911434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394283514240000).

166652911434240 is an abundant number, since it is smaller than the sum of its proper divisors (621914117045760).

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

166652911434240 is a wasteful number, since it uses less digits than its factorization.

166652911434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 166652911434240 in words is "one hundred sixty-six trillion, six hundred fifty-two billion, nine hundred eleven million, four hundred thirty-four thousand, two hundred forty".