20874408000 has 224 divisors, whose sum is σ = 71153292288. Its totient is φ = 5386752000.

The previous prime is 20874407989. The next prime is 20874408029. The reversal of 20874408000 is 80447802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729972 + ... + 758028.

Almost surely, 2^20874408000 is an apocalyptic number.

20874408000 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 20874408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35576646144).

20874408000 is an abundant number, since it is smaller than the sum of its proper divisors (50278884288).

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

20874408000 is a wasteful number, since it uses less digits than its factorization.

20874408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28118 (or 28098 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 20874408000 in words is "twenty billion, eight hundred seventy-four million, four hundred eight thousand".