166290800739840 has 960 divisors, whose sum is σ = 718486828899840. Its totient is φ = 36008817131520.

The previous prime is 166290800739827. The next prime is 166290800739907. The reversal of 166290800739840 is 48937008092661.

166290800739840 is a `hidden beast` number, since 166 + 2 + 9 + 0 + 80 + 0 + 7 + 398 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 81731700 + ... + 83741580.

It is an arithmetic number, because the mean of its divisors is an integer number (748423780104).

Almost surely, 2^{166290800739840} is an apocalyptic number.

166290800739840 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 166290800739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359243414449920).

166290800739840 is an abundant number, since it is smaller than the sum of its proper divisors (552196028160000).

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

166290800739840 is an equidigital number, since it uses as much as digits as its factorization.

166290800739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009945 (or 2009917 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 166290800739840 in words is "one hundred sixty-six trillion, two hundred ninety billion, eight hundred million, seven hundred thirty-nine thousand, eight hundred forty".