87853217450880 has 1536 divisors, whose sum is σ = 371524579614720. Its totient is φ = 17494415769600.

The previous prime is 87853217450839. The next prime is 87853217450923. The reversal of 87853217450880 is 8805471235878.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1140305160 + ... + 1140382200.

It is an arithmetic number, because the mean of its divisors is an integer number (241877981520).

Almost surely, 2^{87853217450880} is an apocalyptic number.

87853217450880 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 87853217450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185762289807360).

87853217450880 is an abundant number, since it is smaller than the sum of its proper divisors (283671362163840).

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

87853217450880 is a wasteful number, since it uses less digits than its factorization.

87853217450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77148 (or 77129 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 66.

The spelling of 87853217450880 in words is "eighty-seven trillion, eight hundred fifty-three billion, two hundred seventeen million, four hundred fifty thousand, eight hundred eighty".