85970759424 has 288 divisors, whose sum is σ = 259885344768. Its totient is φ = 25202073600.

The previous prime is 85970759423. The next prime is 85970759437. The reversal of 85970759424 is 42495707958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85970759423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31687092 + ... + 31689804.

Almost surely, 2^85970759424 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 85970759424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129942672384).

85970759424 is an abundant number, since it is smaller than the sum of its proper divisors (173914585344).

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

85970759424 is a wasteful number, since it uses less digits than its factorization.

85970759424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 85970759424 in words is "eighty-five billion, nine hundred seventy million, seven hundred fifty-nine thousand, four hundred twenty-four".