20405299180032 has 480 divisors, whose sum is σ = 66683983045680. Its totient is φ = 5962642882560.

The previous prime is 20405299180027. The next prime is 20405299180037. The reversal of 20405299180032 is 23008199250402.

20405299180032 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 529 + 91 + 8 + 0 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (20405299180027) and next prime (20405299180037).

It can be written as a sum of positive squares in 8 ways, for example, as 35458396416 + 20369840783616 = 188304^2 + 4513296^2 .

It is a super-2 number, since 2×20405299180032² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20405299180032.

It is not an unprimeable number, because it can be changed into a prime (20405299180037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105873898 + ... + 106066454.

Almost surely, 2^{20405299180032} 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 20405299180032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33341991522840).

20405299180032 is an abundant number, since it is smaller than the sum of its proper divisors (46278683865648).

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

20405299180032 is a wasteful number, since it uses less digits than its factorization.

20405299180032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192684 (or 192665 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20405299180032 in words is "twenty trillion, four hundred five billion, two hundred ninety-nine million, one hundred eighty thousand, thirty-two".