85020176640 has 288 divisors, whose sum is σ = 310795269120. Its totient is φ = 19403661312.

The previous prime is 85020176639. The next prime is 85020176653. The reversal of 85020176640 is 4667102058.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21152551 + ... + 21156569.

It is an arithmetic number, because the mean of its divisors is an integer number (1079150240).

Almost surely, 2^85020176640 is an apocalyptic number.

85020176640 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 85020176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155397634560).

85020176640 is an abundant number, since it is smaller than the sum of its proper divisors (225775092480).

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

85020176640 is a wasteful number, since it uses less digits than its factorization.

85020176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 85020176640 its reverse (4667102058), we get a palindrome (89687278698).

It can be divided in two parts, 850201 and 76640, that added together give a triangular number (926841 = T₁₃₆₁).

The spelling of 85020176640 in words is "eighty-five billion, twenty million, one hundred seventy-six thousand, six hundred forty".