20920089600 has 792 divisors, whose sum is σ = 80778222720. Its totient is φ = 5160960000.

The previous prime is 20920089577. The next prime is 20920089607. The reversal of 20920089600 is 698002902.

20920089600 is a `hidden beast` number, since 20 + 9 + 20 + 0 + 8 + 9 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20920089607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207129550 + ... + 207129650.

Almost surely, 2^20920089600 is an apocalyptic number.

20920089600 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 20920089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40389111360).

20920089600 is an abundant number, since it is smaller than the sum of its proper divisors (59858133120).

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

20920089600 is a wasteful number, since it uses less digits than its factorization.

20920089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 20920089600 in words is "twenty billion, nine hundred twenty million, eighty-nine thousand, six hundred".