20454249600 has 960 divisors, whose sum is σ = 81540138240. Its totient is φ = 5036359680.

The previous prime is 20454249559. The next prime is 20454249611. The reversal of 20454249600 is 694245402.

20454249600 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 4 + 2 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 280195164 + ... + 280195236.

It is an arithmetic number, because the mean of its divisors is an integer number (84937644).

Almost surely, 2^20454249600 is an apocalyptic number.

20454249600 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 20454249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40770069120).

20454249600 is an abundant number, since it is smaller than the sum of its proper divisors (61085888640).

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

20454249600 is a wasteful number, since it uses less digits than its factorization.

20454249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20454249600 in words is "twenty billion, four hundred fifty-four million, two hundred forty-nine thousand, six hundred".