20205405132000 has 576 divisors, whose sum is σ = 74786733036288. Its totient is φ = 4729347840000.

The previous prime is 20205405131999. The next prime is 20205405132023. The reversal of 20205405132000 is 23150450202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110920995 + ... + 111103005.

It is an arithmetic number, because the mean of its divisors is an integer number (129838078188).

Almost surely, 2^{20205405132000} is an apocalyptic number.

20205405132000 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 20205405132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37393366518144).

20205405132000 is an abundant number, since it is smaller than the sum of its proper divisors (54581327904288).

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

20205405132000 is a wasteful number, since it uses less digits than its factorization.

20205405132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182108 (or 182061 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 20205405132000 its reverse (23150450202), we get a palindrome (20228555582202).

The spelling of 20205405132000 in words is "twenty trillion, two hundred five billion, four hundred five million, one hundred thirty-two thousand".