85533511680 has 728 divisors, whose sum is σ = 326811660552. Its totient is φ = 21403533312.

The previous prime is 85533511621. The next prime is 85533511711. The reversal of 85533511680 is 8611533558.

85533511680 is a `hidden beast` number, since 8 + 5 + 53 + 3 + 511 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10044850176 + 75488661504 = 100224^2 + 274752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 253808472 + ... + 253808808.

Almost surely, 2^85533511680 is an apocalyptic number.

85533511680 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 85533511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163405830276).

85533511680 is an abundant number, since it is smaller than the sum of its proper divisors (241278148872).

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

85533511680 is an equidigital number, since it uses as much as digits as its factorization.

85533511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 85533511680 in words is "eighty-five billion, five hundred thirty-three million, five hundred eleven thousand, six hundred eighty".