287490410887680 has 2560 divisors, whose sum is σ = 1391594852229120. Its totient is φ = 54319109898240.

The previous prime is 287490410887643. The next prime is 287490410887711. The reversal of 287490410887680 is 86788014094782.

287490410887680 is a `hidden beast` number, since 2 + 8 + 74 + 9 + 0 + 410 + 8 + 87 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-3 number, since 3×287490410887680³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 287490410887599 and 287490410887608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4635640032 + ... + 4635702048.

It is an arithmetic number, because the mean of its divisors is an integer number (543591739152).

Almost surely, 2^{287490410887680} is an apocalyptic number.

287490410887680 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 287490410887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695797426114560).

287490410887680 is an abundant number, since it is smaller than the sum of its proper divisors (1104104441341440).

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

287490410887680 is a wasteful number, since it uses less digits than its factorization.

287490410887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62147 (or 62125 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 287490410887680 in words is "two hundred eighty-seven trillion, four hundred ninety billion, four hundred ten million, eight hundred eighty-seven thousand, six hundred eighty".