20770344000 has 1120 divisors, whose sum is σ = 92821597440. Its totient is φ = 4478976000.

The previous prime is 20770343989. The next prime is 20770344029. The reversal of 20770344000 is 44307702.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-4 number, since 4×20770344000⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 86183880 + ... + 86184120.

Almost surely, 2^20770344000 is an apocalyptic number.

20770344000 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 20770344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46410798720).

20770344000 is an abundant number, since it is smaller than the sum of its proper divisors (72051253440).

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

20770344000 is a wasteful number, since it uses less digits than its factorization.

20770344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The spelling of 20770344000 in words is "twenty billion, seven hundred seventy million, three hundred forty-four thousand".