85621186560 has 1344 divisors, whose sum is σ = 368405176320. Its totient is φ = 16562257920.

The previous prime is 85621186537. The next prime is 85621186571. The reversal of 85621186560 is 6568112658.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2761973745 + ... + 2761973775.

Almost surely, 2^85621186560 is an apocalyptic number.

85621186560 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 85621186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184202588160).

85621186560 is an abundant number, since it is smaller than the sum of its proper divisors (282783989760).

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

85621186560 is a wasteful number, since it uses less digits than its factorization.

85621186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 85621186560 in words is "eighty-five billion, six hundred twenty-one million, one hundred eighty-six thousand, five hundred sixty".