87860592288 has 432 divisors, whose sum is σ = 299279111040. Its totient is φ = 24366569472.

The previous prime is 87860592257. The next prime is 87860592289. The reversal of 87860592288 is 88229506878.

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

It is not an unprimeable number, because it can be changed into a prime (87860592289) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92193220 + ... + 92194172.

It is an arithmetic number, because the mean of its divisors is an integer number (692775720).

Almost surely, 2^87860592288 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 87860592288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149639555520).

87860592288 is an abundant number, since it is smaller than the sum of its proper divisors (211418518752).

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

87860592288 is a wasteful number, since it uses less digits than its factorization.

87860592288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 87860592288 in words is "eighty-seven billion, eight hundred sixty million, five hundred ninety-two thousand, two hundred eighty-eight".