20387347200 has 648 divisors, whose sum is σ = 83032185600. Its totient is φ = 4724121600.

The previous prime is 20387347199. The next prime is 20387347207. The reversal of 20387347200 is 274378302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20387347207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 14572101 + ... + 14573499.

Almost surely, 2^20387347200 is an apocalyptic number.

20387347200 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 20387347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41516092800).

20387347200 is an abundant number, since it is smaller than the sum of its proper divisors (62644838400).

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

20387347200 is a wasteful number, since it uses less digits than its factorization.

20387347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 20387347200 in words is "twenty billion, three hundred eighty-seven million, three hundred forty-seven thousand, two hundred".