85140196416 has 560 divisors, whose sum is σ = 295866628992. Its totient is φ = 23921049600.

The previous prime is 85140196403. The next prime is 85140196423. The reversal of 85140196416 is 61469104158.

85140196416 is a `hidden beast` number, since 8 + 5 + 1 + 40 + 196 + 416 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68827350 + ... + 68828586.

Almost surely, 2^85140196416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85140196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147933314496).

85140196416 is an abundant number, since it is smaller than the sum of its proper divisors (210726432576).

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

85140196416 is a wasteful number, since it uses less digits than its factorization.

85140196416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 85140196416 in words is "eighty-five billion, one hundred forty million, one hundred ninety-six thousand, four hundred sixteen".