87565962028160 has 512 divisors, whose sum is σ = 262586326279680. Its totient is φ = 27126996664320.

The previous prime is 87565962028133. The next prime is 87565962028169. The reversal of 87565962028160 is 6182026956578.

It is not an unprimeable number, because it can be changed into a prime (87565962028169) 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, 6625245872 + ... + 6625259088.

It is an arithmetic number, because the mean of its divisors is an integer number (512863918515).

Almost surely, 2^{87565962028160} is an apocalyptic number.

87565962028160 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 87565962028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131293163139840).

87565962028160 is an abundant number, since it is smaller than the sum of its proper divisors (175020364251520).

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

87565962028160 is a wasteful number, since it uses less digits than its factorization.

87565962028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14064 (or 14052 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 65.

The spelling of 87565962028160 in words is "eighty-seven trillion, five hundred sixty-five billion, nine hundred sixty-two million, twenty-eight thousand, one hundred sixty".