85424661454752 has 576 divisors, whose sum is σ = 279570322402560. Its totient is φ = 25316362266624.

The previous prime is 85424661454709. The next prime is 85424661454859. The reversal of 85424661454752 is 25745416642458.

85424661454752 is a `hidden beast` number, since 8 + 5 + 4 + 2 + 4 + 6 + 614 + 5 + 4 + 7 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85424661454752.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380098638 + ... + 380323314.

It is an arithmetic number, because the mean of its divisors is an integer number (485365143060).

Almost surely, 2^{85424661454752} 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 85424661454752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139785161201280).

85424661454752 is an abundant number, since it is smaller than the sum of its proper divisors (194145660947808).

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

85424661454752 is a wasteful number, since it uses less digits than its factorization.

85424661454752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224810 (or 224777 counting only the distinct ones).

The product of its digits is 258048000, while the sum is 63.

The spelling of 85424661454752 in words is "eighty-five trillion, four hundred twenty-four billion, six hundred sixty-one million, four hundred fifty-four thousand, seven hundred fifty-two".