85951340280 has 576 divisors, whose sum is σ = 322053732000. Its totient is φ = 19738736640.

The previous prime is 85951340261. The next prime is 85951340291. The reversal of 85951340280 is 8204315958.

85951340280 is a `hidden beast` number, since 8 + 59 + 513 + 4 + 0 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130426591 + ... + 130427249.

Almost surely, 2^85951340280 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 85951340280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161026866000).

85951340280 is an abundant number, since it is smaller than the sum of its proper divisors (236102391720).

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

85951340280 is a wasteful number, since it uses less digits than its factorization.

85951340280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 85951340280 in words is "eighty-five billion, nine hundred fifty-one million, three hundred forty thousand, two hundred eighty".