85611921120 has 864 divisors, whose sum is σ = 353354418144. Its totient is φ = 18653184000.

The previous prime is 85611921113. The next prime is 85611921127. The reversal of 85611921120 is 2112911658.

85611921120 is a `hidden beast` number, since 8 + 5 + 611 + 9 + 2 + 11 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (85611921113) and next prime (85611921127).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85611921127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142448820 + ... + 142449420.

It is an arithmetic number, because the mean of its divisors is an integer number (408975021).

Almost surely, 2^85611921120 is an apocalyptic number.

85611921120 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 85611921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176677209072).

85611921120 is an abundant number, since it is smaller than the sum of its proper divisors (267742497024).

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

85611921120 is a wasteful number, since it uses less digits than its factorization.

85611921120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 85611921120 in words is "eighty-five billion, six hundred eleven million, nine hundred twenty-one thousand, one hundred twenty".