20025333656640 has 1008 divisors, whose sum is σ = 78330276460800. Its totient is φ = 4866664218624.

The previous prime is 20025333656609. The next prime is 20025333656641. The reversal of 20025333656640 is 4665633352002.

20025333656640 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 53 + 3 + 36 + 566 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20025333656641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1038164116 + ... + 1038183404.

It is an arithmetic number, because the mean of its divisors is an integer number (77708607600).

Almost surely, 2^{20025333656640} is an apocalyptic number.

20025333656640 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 20025333656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39165138230400).

20025333656640 is an abundant number, since it is smaller than the sum of its proper divisors (58304942804160).

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

20025333656640 is a wasteful number, since it uses less digits than its factorization.

20025333656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19426 (or 19391 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 20025333656640 in words is "twenty trillion, twenty-five billion, three hundred thirty-three million, six hundred fifty-six thousand, six hundred forty".