85656461899008 has 2304 divisors, whose sum is σ = 334514399256576. Its totient is φ = 18712803409920.

The previous prime is 85656461898983. The next prime is 85656461899037. The reversal of 85656461899008 is 80099816465658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 148451406816 + ... + 148451407392.

It is an arithmetic number, because the mean of its divisors is an integer number (145188541344).

Almost surely, 2^{85656461899008} is an apocalyptic number.

85656461899008 is a gapful number since it is divisible by the number (88) 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 85656461899008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167257199628288).

85656461899008 is an abundant number, since it is smaller than the sum of its proper divisors (248857937357568).

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

85656461899008 is a wasteful number, since it uses less digits than its factorization.

85656461899008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 75.

The spelling of 85656461899008 in words is "eighty-five trillion, six hundred fifty-six billion, four hundred sixty-one million, eight hundred ninety-nine thousand, eight".