20285673408 has 672 divisors, whose sum is σ = 78923400192. Its totient is φ = 4810752000.

The previous prime is 20285673383. The next prime is 20285673409. The reversal of 20285673408 is 80437658202.

20285673408 is a `hidden beast` number, since 20 + 28 + 567 + 3 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20285673409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87062860 + ... + 87063092.

It is an arithmetic number, because the mean of its divisors is an integer number (117445536).

Almost surely, 2^20285673408 is an apocalyptic number.

20285673408 is a gapful number since it is divisible by the number (28) 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 20285673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461700096).

20285673408 is an abundant number, since it is smaller than the sum of its proper divisors (58637726784).

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

20285673408 is a wasteful number, since it uses less digits than its factorization.

20285673408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20285673408 in words is "twenty billion, two hundred eighty-five million, six hundred seventy-three thousand, four hundred eight".