85561960380800 has 96 divisors (see below), whose sum is σ = 211369663812000. Its totient is φ = 34223993395200.

The previous prime is 85561960380797. The next prime is 85561960380803. The reversal of 85561960380800 is 808306916558.

It is an interprime number because it is at equal distance from previous prime (85561960380797) and next prime (85561960380803).

It is a self number, because there is not a number n which added to its sum of digits gives 85561960380800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85561960380803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149573726 + ... + 150144674.

It is an arithmetic number, because the mean of its divisors is an integer number (2201767331375).

Almost surely, 2^{85561960380800} is an apocalyptic number.

85561960380800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85561960380800 is an abundant number, since it is smaller than the sum of its proper divisors (125807703431200).

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

85561960380800 is a wasteful number, since it uses less digits than its factorization.

85561960380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617804 (or 617787 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 59.

The spelling of 85561960380800 in words is "eighty-five trillion, five hundred sixty-one billion, nine hundred sixty million, three hundred eighty thousand, eight hundred".