85150083658752 has 352 divisors, whose sum is σ = 293082870297600. Its totient is φ = 23916243050496.

The previous prime is 85150083658609. The next prime is 85150083658769. The reversal of 85150083658752 is 25785638005158.

It is a happy number.

85150083658752 is a `hidden beast` number, since 8 + 5 + 1 + 500 + 8 + 3 + 6 + 58 + 75 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85150083658752.

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, 7690063 + ... + 15147185.

Almost surely, 2^{85150083658752} 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 85150083658752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146541435148800).

85150083658752 is an abundant number, since it is smaller than the sum of its proper divisors (207932786638848).

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

85150083658752 is a wasteful number, since it uses less digits than its factorization.

85150083658752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457218 (or 7457194 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 63.

The spelling of 85150083658752 in words is "eighty-five trillion, one hundred fifty billion, eighty-three million, six hundred fifty-eight thousand, seven hundred fifty-two".