85197939840 has 1152 divisors, whose sum is σ = 350155653120. Its totient is φ = 18951045120.

The previous prime is 85197939839. The next prime is 85197939863. The reversal of 85197939840 is 4893979158.

85197939840 is a `hidden beast` number, since 8 + 519 + 7 + 9 + 39 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 670849857 + ... + 670849983.

It is an arithmetic number, because the mean of its divisors is an integer number (303954560).

Almost surely, 2^85197939840 is an apocalyptic number.

85197939840 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 85197939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175077826560).

85197939840 is an abundant number, since it is smaller than the sum of its proper divisors (264957713280).

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

85197939840 is a wasteful number, since it uses less digits than its factorization.

85197939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 85197939840 in words is "eighty-five billion, one hundred ninety-seven million, nine hundred thirty-nine thousand, eight hundred forty".