287720421991200 has 3888 divisors, whose sum is σ = 1261094245302528. Its totient is φ = 63889233408000.

The previous prime is 287720421991187. The next prime is 287720421991217. The reversal of 287720421991200 is 2199124027782.

287720421991200 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 2 + 0 + 421 + 9 + 9 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 647 ways as a sum of consecutive naturals, for example, 263239177854 + ... + 263239178946.

Almost surely, 2^{287720421991200} is an apocalyptic number.

287720421991200 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 287720421991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630547122651264).

287720421991200 is an abundant number, since it is smaller than the sum of its proper divisors (973373823311328).

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

287720421991200 is a wasteful number, since it uses less digits than its factorization.

287720421991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 287720421991200 in words is "two hundred eighty-seven trillion, seven hundred twenty billion, four hundred twenty-one million, nine hundred ninety-one thousand, two hundred".