20820807000 has 320 divisors, whose sum is σ = 83179736640. Its totient is φ = 4758912000.

The previous prime is 20820806987. The next prime is 20820807019. The reversal of 20820807000 is 70802802.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 548640 + ... + 585360.

It is an arithmetic number, because the mean of its divisors is an integer number (259936677).

Almost surely, 2^20820807000 is an apocalyptic number.

20820807000 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 20820807000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41589868320).

20820807000 is an abundant number, since it is smaller than the sum of its proper divisors (62358929640).

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

20820807000 is a wasteful number, since it uses less digits than its factorization.

20820807000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36761 (or 36738 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 20820807000 in words is "twenty billion, eight hundred twenty million, eight hundred seven thousand".