20396448000 has 864 divisors, whose sum is σ = 79157350272. Its totient is φ = 5225472000.

The previous prime is 20396447989. The next prime is 20396448011. The reversal of 20396448000 is 84469302.

It is a happy number.

20396448000 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 644 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20396447989) and next prime (20396448011).

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 334367970 + ... + 334368030.

Almost surely, 2^20396448000 is an apocalyptic number.

20396448000 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 20396448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39578675136).

20396448000 is an abundant number, since it is smaller than the sum of its proper divisors (58760902272).

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

20396448000 is an frugal number, since it uses more digits than its factorization.

20396448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20396448000 in words is "twenty billion, three hundred ninety-six million, four hundred forty-eight thousand".