85198890672 has 240 divisors, whose sum is σ = 281651116032. Its totient is φ = 23527203840.

The previous prime is 85198890631. The next prime is 85198890719. The reversal of 85198890672 is 27609889158.

It is a happy number.

It is a super-3 number, since 3×85198890672³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37090228 + ... + 37092524.

Almost surely, 2^85198890672 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 85198890672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140825558016).

85198890672 is an abundant number, since it is smaller than the sum of its proper divisors (196452225360).

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

85198890672 is a wasteful number, since it uses less digits than its factorization.

85198890672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 85198890672 in words is "eighty-five billion, one hundred ninety-eight million, eight hundred ninety thousand, six hundred seventy-two".