166919663520 has 384 divisors, whose sum is σ = 599710003200. Its totient is φ = 43338322944.

The previous prime is 166919663473. The next prime is 166919663527. The reversal of 166919663520 is 25366919661.

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 (166919663527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66686589 + ... + 66689091.

It is an arithmetic number, because the mean of its divisors is an integer number (1561744800).

Almost surely, 2^166919663520 is an apocalyptic number.

166919663520 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 166919663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299855001600).

166919663520 is an abundant number, since it is smaller than the sum of its proper divisors (432790339680).

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

166919663520 is a wasteful number, since it uses less digits than its factorization.

166919663520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 166919663520 in words is "one hundred sixty-six billion, nine hundred nineteen million, six hundred sixty-three thousand, five hundred twenty".