20908540800 has 768 divisors, whose sum is σ = 88394342400. Its totient is φ = 4727808000.

The previous prime is 20908540753. The next prime is 20908540817. The reversal of 20908540800 is 804580902.

20908540800 is a `hidden beast` number, since 20 + 90 + 8 + 540 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109468705 + ... + 109468895.

It is an arithmetic number, because the mean of its divisors is an integer number (115096800).

Almost surely, 2^20908540800 is an apocalyptic number.

20908540800 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 20908540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44197171200).

20908540800 is an abundant number, since it is smaller than the sum of its proper divisors (67485801600).

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

20908540800 is a wasteful number, since it uses less digits than its factorization.

20908540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 20908540800 in words is "twenty billion, nine hundred eight million, five hundred forty thousand, eight hundred".