85009929338880 has 2736 divisors, whose sum is σ = 383772547529280. Its totient is φ = 17893353848832.

The previous prime is 85009929338797. The next prime is 85009929338881. The reversal of 85009929338880 is 8883392990058.

85009929338880 is a `hidden beast` number, since 8 + 500 + 9 + 9 + 2 + 9 + 3 + 38 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 85009929338799 and 85009929338808.

It is not an unprimeable number, because it can be changed into a prime (85009929338881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202887659311 + ... + 202887659729.

It is an arithmetic number, because the mean of its divisors is an integer number (140267743980).

Almost surely, 2^{85009929338880} is an apocalyptic number.

85009929338880 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 85009929338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191886273764640).

85009929338880 is an abundant number, since it is smaller than the sum of its proper divisors (298762618190400).

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

85009929338880 is an frugal number, since it uses more digits than its factorization.

85009929338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 85009929338880 in words is "eighty-five trillion, nine billion, nine hundred twenty-nine million, three hundred thirty-eight thousand, eight hundred eighty".