166883318784000 has 5376 divisors, whose sum is σ = 785910911385600. Its totient is φ = 33814609920000.

The previous prime is 166883318783981. The next prime is 166883318784023. The reversal of 166883318784000 is 487813388661.

166883318784000 is a `hidden beast` number, since 16 + 6 + 8 + 8 + 33 + 187 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1273918463935 + ... + 1273918464065.

It is an arithmetic number, because the mean of its divisors is an integer number (146188785600).

Almost surely, 2^{166883318784000} is an apocalyptic number.

166883318784000 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 166883318784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392955455692800).

166883318784000 is an abundant number, since it is smaller than the sum of its proper divisors (619027592601600).

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

166883318784000 is a wasteful number, since it uses less digits than its factorization.

166883318784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 166883318784000 in words is "one hundred sixty-six trillion, eight hundred eighty-three billion, three hundred eighteen million, seven hundred eighty-four thousand".