287987761152 has 1024 divisors, whose sum is σ = 1086308160000. Its totient is φ = 74912366592.

The previous prime is 287987761151. The next prime is 287987761157. The reversal of 287987761152 is 251167789782.

287987761152 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 8 + 7 + 7 + 611 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (23708160) is a multiple of the sum of its prime divisors (98).

It is a self number, because there is not a number n which added to its sum of digits gives 287987761152.

It is not an unprimeable number, because it can be changed into a prime (287987761151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3945037788 + ... + 3945037860.

Almost surely, 2^287987761152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287987761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543154080000).

287987761152 is an abundant number, since it is smaller than the sum of its proper divisors (798320398848).

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

287987761152 is an frugal number, since it uses more digits than its factorization.

287987761152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 98 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 63.

The spelling of 287987761152 in words is "two hundred eighty-seven billion, nine hundred eighty-seven million, seven hundred sixty-one thousand, one hundred fifty-two".