20977110000 has 800 divisors, whose sum is σ = 93899942400. Its totient is φ = 4354560000.

The previous prime is 20977109969. The next prime is 20977110023. The reversal of 20977110000 is 1177902.

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20789496 + ... + 20790504.

It is an arithmetic number, because the mean of its divisors is an integer number (117374928).

Almost surely, 2^20977110000 is an apocalyptic number.

20977110000 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 20977110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46949971200).

20977110000 is an abundant number, since it is smaller than the sum of its proper divisors (72922832400).

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

20977110000 is a wasteful number, since it uses less digits than its factorization.

20977110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

Adding to 20977110000 its reverse (1177902), we get a palindrome (20978287902).

The spelling of 20977110000 in words is "twenty billion, nine hundred seventy-seven million, one hundred ten thousand".