20705771424 has 192 divisors, whose sum is σ = 60180962688. Its totient is φ = 6193152000.

The previous prime is 20705771371. The next prime is 20705771491. The reversal of 20705771424 is 42417750702.

It is a super-3 number, since 3×20705771424³ (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 12932224 + ... + 12933824.

It is an arithmetic number, because the mean of its divisors is an integer number (313442514).

Almost surely, 2^20705771424 is an apocalyptic number.

20705771424 is a gapful number since it is divisible by the number (24) 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 20705771424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30090481344).

20705771424 is an abundant number, since it is smaller than the sum of its proper divisors (39475191264).

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

20705771424 is a wasteful number, since it uses less digits than its factorization.

20705771424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 39.

The spelling of 20705771424 in words is "twenty billion, seven hundred five million, seven hundred seventy-one thousand, four hundred twenty-four".