20159431200 has 288 divisors, whose sum is σ = 75426422400. Its totient is φ = 5190312960.

The previous prime is 20159431189. The next prime is 20159431261. The reversal of 20159431200 is 213495102.

20159431200 is a `hidden beast` number, since 20 + 1 + 5 + 9 + 431 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610309 + ... + 642491.

It is an arithmetic number, because the mean of its divisors is an integer number (261897300).

Almost surely, 2^20159431200 is an apocalyptic number.

20159431200 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 20159431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37713211200).

20159431200 is an abundant number, since it is smaller than the sum of its proper divisors (55266991200).

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

20159431200 is a wasteful number, since it uses less digits than its factorization.

20159431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32241 (or 32222 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 20159431200 in words is "twenty billion, one hundred fifty-nine million, four hundred thirty-one thousand, two hundred".