20132400000 has 384 divisors, whose sum is σ = 70439241600. Its totient is φ = 5080320000.

The previous prime is 20132399999. The next prime is 20132400017. The reversal of 20132400000 is 423102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22799559 + ... + 22800441.

It is an arithmetic number, because the mean of its divisors is an integer number (183435525).

Almost surely, 2^20132400000 is an apocalyptic number.

20132400000 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 20132400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35219620800).

20132400000 is an abundant number, since it is smaller than the sum of its proper divisors (50306841600).

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

20132400000 is an frugal number, since it uses more digits than its factorization.

20132400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20132400000 its reverse (423102), we get a palindrome (20132823102).

The spelling of 20132400000 in words is "twenty billion, one hundred thirty-two million, four hundred thousand".