20319465600 has 576 divisors, whose sum is σ = 85954290240. Its totient is φ = 4643205120.

The previous prime is 20319465599. The next prime is 20319465613. The reversal of 20319465600 is 656491302.

It is a happy number.

20319465600 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 9 + 46 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5441334 + ... + 5445066.

Almost surely, 2^20319465600 is an apocalyptic number.

20319465600 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 20319465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42977145120).

20319465600 is an abundant number, since it is smaller than the sum of its proper divisors (65634824640).

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

20319465600 is an equidigital number, since it uses as much as digits as its factorization.

20319465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 20319465600 in words is "twenty billion, three hundred nineteen million, four hundred sixty-five thousand, six hundred".