287132040000 has 1400 divisors, whose sum is σ = 1215812821608. Its totient is φ = 66355200000.

The previous prime is 287132039993. The next prime is 287132040037. The reversal of 287132040000 is 40231782.

It can be written as a sum of positive squares in 20 ways, for example, as 242749348416 + 44382691584 = 492696^2 + 210672^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 716039800 + ... + 716040200.

Almost surely, 2^287132040000 is an apocalyptic number.

287132040000 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 287132040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607906410804).

287132040000 is an abundant number, since it is smaller than the sum of its proper divisors (928680781608).

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

287132040000 is a wasteful number, since it uses less digits than its factorization.

287132040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 287132040000 its reverse (40231782), we get a palindrome (287172271782).

The spelling of 287132040000 in words is "two hundred eighty-seven billion, one hundred thirty-two million, forty thousand".