87352087680 has 1152 divisors, whose sum is σ = 369759237120. Its totient is φ = 18855936000.

The previous prime is 87352087651. The next prime is 87352087687. The reversal of 87352087680 is 8678025378.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (87352087687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 280874725 + ... + 280875035.

It is an arithmetic number, because the mean of its divisors is an integer number (320971560).

Almost surely, 2^87352087680 is an apocalyptic number.

87352087680 is a gapful number since it is divisible by the number (80) 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 87352087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184879618560).

87352087680 is an abundant number, since it is smaller than the sum of its proper divisors (282407149440).

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

87352087680 is a wasteful number, since it uses less digits than its factorization.

87352087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 87352087680 in words is "eighty-seven billion, three hundred fifty-two million, eighty-seven thousand, six hundred eighty".