87352800544680 has 256 divisors, whose sum is σ = 302891767234560. Its totient is φ = 19918036684800.

The previous prime is 87352800544673. The next prime is 87352800544721. The reversal of 87352800544680 is 8644500825378.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33921385 + ... + 36405575.

It is an arithmetic number, because the mean of its divisors is an integer number (1183170965760).

Almost surely, 2^{87352800544680} 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 87352800544680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151445883617280).

87352800544680 is an abundant number, since it is smaller than the sum of its proper divisors (215538966689880).

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

87352800544680 is a wasteful number, since it uses less digits than its factorization.

87352800544680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485800 (or 2485796 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 60.

The spelling of 87352800544680 in words is "eighty-seven trillion, three hundred fifty-two billion, eight hundred million, five hundred forty-four thousand, six hundred eighty".