85968429750 has 288 divisors, whose sum is σ = 271202087520. Its totient is φ = 19592496000.

The previous prime is 85968429739. The next prime is 85968429751. The reversal of 85968429750 is 5792486958.

85968429750 is a `hidden beast` number, since 85 + 9 + 68 + 429 + 75 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85968429751) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46193820 + ... + 46195680.

It is an arithmetic number, because the mean of its divisors is an integer number (941673915).

Almost surely, 2^85968429750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85968429750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135601043760).

85968429750 is an abundant number, since it is smaller than the sum of its proper divisors (185233657770).

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

85968429750 is a wasteful number, since it uses less digits than its factorization.

85968429750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 85968429750 in words is "eighty-five billion, nine hundred sixty-eight million, four hundred twenty-nine thousand, seven hundred fifty".