20460170465280 has 3744 divisors, whose sum is σ = 95965955205120. Its totient is φ = 3921433067520.

The previous prime is 20460170465263. The next prime is 20460170465303. The reversal of 20460170465280 is 8256407106402.

20460170465280 is a `hidden beast` number, since 2 + 0 + 46 + 0 + 1 + 70 + 465 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 187707985866 + ... + 187707985974.

It is an arithmetic number, because the mean of its divisors is an integer number (25631932480).

Almost surely, 2^{20460170465280} is an apocalyptic number.

20460170465280 is a gapful number since it is divisible by the number (20) 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 20460170465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47982977602560).

20460170465280 is an abundant number, since it is smaller than the sum of its proper divisors (75505784739840).

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

20460170465280 is a wasteful number, since it uses less digits than its factorization.

20460170465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20460170465280 in words is "twenty trillion, four hundred sixty billion, one hundred seventy million, four hundred sixty-five thousand, two hundred eighty".