287625948480 has 336 divisors, whose sum is σ = 1128088385424. Its totient is φ = 66635366400.

The previous prime is 287625948479. The next prime is 287625948499. The reversal of 287625948480 is 84849526782.

287625948480 is a `hidden beast` number, since 2 + 8 + 7 + 62 + 5 + 94 + 8 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2803067136 + 284822881344 = 52944^2 + 533688^2 .

It is a super-2 number, since 2×287625948480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410530 + ... + 862430.

It is an arithmetic number, because the mean of its divisors is an integer number (3357405909).

Almost surely, 2^287625948480 is an apocalyptic number.

287625948480 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 287625948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564044192712).

287625948480 is an abundant number, since it is smaller than the sum of its proper divisors (840462436944).

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

287625948480 is a wasteful number, since it uses less digits than its factorization.

287625948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451954 (or 451941 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 287625948480 in words is "two hundred eighty-seven billion, six hundred twenty-five million, nine hundred forty-eight thousand, four hundred eighty".