20409984960 has 224 divisors, whose sum is σ = 66012364800. Its totient is φ = 5341839360.

The previous prime is 20409984949. The next prime is 20409984979. The reversal of 20409984960 is 6948990402.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14484736 + ... + 14486144.

Almost surely, 2^20409984960 is an apocalyptic number.

20409984960 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 20409984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33006182400).

20409984960 is an abundant number, since it is smaller than the sum of its proper divisors (45602379840).

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

20409984960 is a wasteful number, since it uses less digits than its factorization.

20409984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 20409984960 in words is "twenty billion, four hundred nine million, nine hundred eighty-four thousand, nine hundred sixty".