85755587880000 has 560 divisors, whose sum is σ = 289034929915776. Its totient is φ = 22424463360000.

The previous prime is 85755587879993. The next prime is 85755587880013. The reversal of 85755587880000 is 8878555758.

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 79 ways as a sum of consecutive naturals, for example, 23347558164 + ... + 23347561836.

Almost surely, 2^{85755587880000} is an apocalyptic number.

85755587880000 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 85755587880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144517464957888).

85755587880000 is an abundant number, since it is smaller than the sum of its proper divisors (203279342035776).

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

85755587880000 is a wasteful number, since it uses less digits than its factorization.

85755587880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 125440000, while the sum is 66.

The spelling of 85755587880000 in words is "eighty-five trillion, seven hundred fifty-five billion, five hundred eighty-seven million, eight hundred eighty thousand".