20065293600 has 288 divisors, whose sum is σ = 71742283200. Its totient is φ = 4830720000.

The previous prime is 20065293559. The next prime is 20065293601. The reversal of 20065293600 is 639256002.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (20065293601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3931050 + ... + 3936150.

It is an arithmetic number, because the mean of its divisors is an integer number (249105150).

Almost surely, 2^20065293600 is an apocalyptic number.

20065293600 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 20065293600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35871141600).

20065293600 is an abundant number, since it is smaller than the sum of its proper divisors (51676989600).

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

20065293600 is a wasteful number, since it uses less digits than its factorization.

20065293600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 20065293600 in words is "twenty billion, sixty-five million, two hundred ninety-three thousand, six hundred".