20735442380160 has 576 divisors, whose sum is σ = 75623275728000. Its totient is φ = 5234662637568.

The previous prime is 20735442380131. The next prime is 20735442380183. The reversal of 20735442380160 is 6108324453702.

20735442380160 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 544 + 23 + 80 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 3927908401 + ... + 3927913679.

It is an arithmetic number, because the mean of its divisors is an integer number (131290409250).

Almost surely, 2^{20735442380160} is an apocalyptic number.

20735442380160 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 20735442380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37811637864000).

20735442380160 is an abundant number, since it is smaller than the sum of its proper divisors (54887833347840).

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

20735442380160 is a wasteful number, since it uses less digits than its factorization.

20735442380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7231 (or 7197 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20735442380160 in words is "twenty trillion, seven hundred thirty-five billion, four hundred forty-two million, three hundred eighty thousand, one hundred sixty".