87709887720 has 1536 divisors, whose sum is σ = 406832025600. Its totient is φ = 16446799872.

The previous prime is 87709887691. The next prime is 87709887743. The reversal of 87709887720 is 2778890778.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 285699807 + ... + 285700113.

It is an arithmetic number, because the mean of its divisors is an integer number (264864600).

Almost surely, 2^87709887720 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 87709887720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203416012800).

87709887720 is an abundant number, since it is smaller than the sum of its proper divisors (319122137880).

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

87709887720 is a wasteful number, since it uses less digits than its factorization.

87709887720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 63.

The spelling of 87709887720 in words is "eighty-seven billion, seven hundred nine million, eight hundred eighty-seven thousand, seven hundred twenty".