20945433600 has 1584 divisors, whose sum is σ = 98306569088. Its totient is φ = 4299816960.

The previous prime is 20945433589. The next prime is 20945433629. The reversal of 20945433600 is 633454902.

20945433600 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 5 + 43 + 3 + 600 = 666.

It is a super-2 number, since 2×20945433600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 566092782 + ... + 566092818.

Almost surely, 2^20945433600 is an apocalyptic number.

20945433600 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 20945433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49153284544).

20945433600 is an abundant number, since it is smaller than the sum of its proper divisors (77361135488).

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

20945433600 is a wasteful number, since it uses less digits than its factorization.

20945433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 20945433600 in words is "twenty billion, nine hundred forty-five million, four hundred thirty-three thousand, six hundred".