20287145959200 has 432 divisors, whose sum is σ = 73869845527296. Its totient is φ = 5233646131200.

The previous prime is 20287145959151. The next prime is 20287145959243. The reversal of 20287145959200 is 295954178202.

20287145959200 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 7 + 1 + 45 + 9 + 592 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 752840127 + ... + 752867073.

Almost surely, 2^{20287145959200} is an apocalyptic number.

20287145959200 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 20287145959200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36934922763648).

20287145959200 is an abundant number, since it is smaller than the sum of its proper divisors (53582699568096).

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

20287145959200 is a wasteful number, since it uses less digits than its factorization.

20287145959200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30377 (or 30361 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 20287145959200 in words is "twenty trillion, two hundred eighty-seven billion, one hundred forty-five million, nine hundred fifty-nine thousand, two hundred".