20990919100320 has 768 divisors, whose sum is σ = 79832148480000. Its totient is φ = 5120625033216.

The previous prime is 20990919100199. The next prime is 20990919100337. The reversal of 20990919100320 is 2300191909902.

20990919100320 is a `hidden beast` number, since 209 + 9 + 0 + 9 + 19 + 100 + 320 = 666.

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 127 ways as a sum of consecutive naturals, for example, 4008192742 + ... + 4008197978.

It is an arithmetic number, because the mean of its divisors is an integer number (103948110000).

Almost surely, 2^{20990919100320} is an apocalyptic number.

20990919100320 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 20990919100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916074240000).

20990919100320 is an abundant number, since it is smaller than the sum of its proper divisors (58841229379680).

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

20990919100320 is a wasteful number, since it uses less digits than its factorization.

20990919100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 20990919100320 in words is "twenty trillion, nine hundred ninety billion, nine hundred nineteen million, one hundred thousand, three hundred twenty".