85954200540 has 96 divisors (see below), whose sum is σ = 259571678016. Its totient is φ = 21126389760.

The previous prime is 85954200539. The next prime is 85954200569. The reversal of 85954200540 is 4500245958.

It is a junction number, because it is equal to n+sod(n) for n = 85954200492 and 85954200501.

It is a congruent number.

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, 443070 + ... + 606810.

It is an arithmetic number, because the mean of its divisors is an integer number (2703871646).

Almost surely, 2^85954200540 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 85954200540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129785839008).

85954200540 is an abundant number, since it is smaller than the sum of its proper divisors (173617477476).

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

85954200540 is a wasteful number, since it uses less digits than its factorization.

85954200540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164439 (or 164437 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 85954200540 in words is "eighty-five billion, nine hundred fifty-four million, two hundred thousand, five hundred forty".