85981800672 has 120 divisors (see below), whose sum is σ = 255712010400. Its totient is φ = 28338494976.

The previous prime is 85981800581. The next prime is 85981800719. The reversal of 85981800672 is 27600818958.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 44329 + ... + 417047.

It is an arithmetic number, because the mean of its divisors is an integer number (2130933420).

Almost surely, 2^85981800672 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 85981800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127856005200).

85981800672 is an abundant number, since it is smaller than the sum of its proper divisors (169730209728).

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

85981800672 is a wasteful number, since it uses less digits than its factorization.

85981800672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372830 (or 372813 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 85981800672 in words is "eighty-five billion, nine hundred eighty-one million, eight hundred thousand, six hundred seventy-two".