20407296000 has 896 divisors, whose sum is σ = 84728157696. Its totient is φ = 4246732800.

The previous prime is 20407295957. The next prime is 20407296023. The reversal of 20407296000 is 69270402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279551964 + ... + 279552036.

It is an arithmetic number, because the mean of its divisors is an integer number (94562676).

Almost surely, 2^20407296000 is an apocalyptic number.

20407296000 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 20407296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42364078848).

20407296000 is an abundant number, since it is smaller than the sum of its proper divisors (64320861696).

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

20407296000 is an equidigital number, since it uses as much as digits as its factorization.

20407296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 20407296000 in words is "twenty billion, four hundred seven million, two hundred ninety-six thousand".