20395147481280 has 1792 divisors, whose sum is σ = 85791776071680. Its totient is φ = 4496228352000.

The previous prime is 20395147481263. The next prime is 20395147481407. The reversal of 20395147481280 is 8218474159302.

20395147481280 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 514 + 7 + 48 + 1 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44049994329 + ... + 44049994791.

It is an arithmetic number, because the mean of its divisors is an integer number (47874875040).

Almost surely, 2^{20395147481280} is an apocalyptic number.

20395147481280 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 20395147481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42895888035840).

20395147481280 is an abundant number, since it is smaller than the sum of its proper divisors (65396628590400).

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

20395147481280 is a wasteful number, since it uses less digits than its factorization.

20395147481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 20395147481280 in words is "twenty trillion, three hundred ninety-five billion, one hundred forty-seven million, four hundred eighty-one thousand, two hundred eighty".