87465270520320 has 1920 divisors, whose sum is σ = 378238385479680. Its totient is φ = 16740023009280.

The previous prime is 87465270520319. The next prime is 87465270520333. The reversal of 87465270520320 is 2302507256478.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×87465270520320³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8032437436 + ... + 8032448324.

It is an arithmetic number, because the mean of its divisors is an integer number (196999159104).

Almost surely, 2^{87465270520320} is an apocalyptic number.

87465270520320 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 87465270520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189119192739840).

87465270520320 is an abundant number, since it is smaller than the sum of its proper divisors (290773114959360).

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

87465270520320 is a wasteful number, since it uses less digits than its factorization.

87465270520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11014 (or 10981 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

Adding to 87465270520320 its reverse (2302507256478), we get a palindrome (89767777776798).

The spelling of 87465270520320 in words is "eighty-seven trillion, four hundred sixty-five billion, two hundred seventy million, five hundred twenty thousand, three hundred twenty".