20961018432 has 224 divisors, whose sum is σ = 63495936000. Its totient is φ = 6776524800.

The previous prime is 20961018361. The next prime is 20961018439. The reversal of 20961018432 is 23481016902.

20961018432 is a `hidden beast` number, since 2 + 0 + 9 + 610 + 1 + 8 + 4 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20961018439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13531194 + ... + 13532742.

It is an arithmetic number, because the mean of its divisors is an integer number (283464000).

Almost surely, 2^20961018432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20961018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31747968000).

20961018432 is an abundant number, since it is smaller than the sum of its proper divisors (42534917568).

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

20961018432 is a wasteful number, since it uses less digits than its factorization.

20961018432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20961018432 in words is "twenty billion, nine hundred sixty-one million, eighteen thousand, four hundred thirty-two".