85011365643600 has 240 divisors, whose sum is σ = 297625230391104. Its totient is φ = 20570720256000.

The previous prime is 85011365643557. The next prime is 85011365643623. The reversal of 85011365643600 is 634656311058.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85011365643600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189024 + ... + 13093376.

Almost surely, 2^{85011365643600} is an apocalyptic number.

85011365643600 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 85011365643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148812615195552).

85011365643600 is an abundant number, since it is smaller than the sum of its proper divisors (212613864747504).

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

85011365643600 is a wasteful number, since it uses less digits than its factorization.

85011365643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11904926 (or 11904915 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 85011365643600 in words is "eighty-five trillion, eleven billion, three hundred sixty-five million, six hundred forty-three thousand, six hundred".