20920477284000 has 2304 divisors, whose sum is σ = 90748166745600. Its totient is φ = 4666346496000.

The previous prime is 20920477283983. The next prime is 20920477284041. The reversal of 20920477284000 is 48277402902.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 73923947859 + ... + 73923948141.

It is an arithmetic number, because the mean of its divisors is an integer number (39387225150).

Almost surely, 2^{20920477284000} is an apocalyptic number.

20920477284000 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 20920477284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45374083372800).

20920477284000 is an abundant number, since it is smaller than the sum of its proper divisors (69827689461600).

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

20920477284000 is a wasteful number, since it uses less digits than its factorization.

20920477284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 20920477284000 in words is "twenty trillion, nine hundred twenty billion, four hundred seventy-seven million, two hundred eighty-four thousand".