20094897600 has 1008 divisors, whose sum is σ = 81719269632. Its totient is φ = 4655185920.

The previous prime is 20094897551. The next prime is 20094897649. The reversal of 20094897600 is 679849002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20094897551) and next prime (20094897649).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 242107159 + ... + 242107241.

It is an arithmetic number, because the mean of its divisors is an integer number (81070704).

Almost surely, 2^20094897600 is an apocalyptic number.

20094897600 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 20094897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40859634816).

20094897600 is an abundant number, since it is smaller than the sum of its proper divisors (61624372032).

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

20094897600 is a wasteful number, since it uses less digits than its factorization.

20094897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20094897600 in words is "twenty billion, ninety-four million, eight hundred ninety-seven thousand, six hundred".