20409624180 has 216 divisors, whose sum is σ = 68820078600. Its totient is φ = 4891729920.

The previous prime is 20409624127. The next prime is 20409624203. The reversal of 20409624180 is 8142690402.

20409624180 is a `hidden beast` number, since 2 + 0 + 409 + 6 + 241 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2049916176 + 18359708004 = 45276^2 + 135498^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1933156 + ... + 1943684.

It is an arithmetic number, because the mean of its divisors is an integer number (318611475).

Almost surely, 2^20409624180 is an apocalyptic number.

20409624180 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 20409624180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410039300).

20409624180 is an abundant number, since it is smaller than the sum of its proper divisors (48410454420).

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

20409624180 is a wasteful number, since it uses less digits than its factorization.

20409624180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10655 (or 10639 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20409624180 in words is "twenty billion, four hundred nine million, six hundred twenty-four thousand, one hundred eighty".