85850388624 has 480 divisors, whose sum is σ = 302629519360. Its totient is φ = 20405468160.

The previous prime is 85850388607. The next prime is 85850388629. The reversal of 85850388624 is 42688305858.

It is a super-2 number, since 2×85850388624² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85850388629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67122417 + ... + 67123695.

Almost surely, 2^85850388624 is an apocalyptic number.

85850388624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85850388624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151314759680).

85850388624 is an abundant number, since it is smaller than the sum of its proper divisors (216779130736).

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

85850388624 is a wasteful number, since it uses less digits than its factorization.

85850388624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 57.

It can be divided in two parts, 85850 and 388624, that added together give a palindrome (474474).

The spelling of 85850388624 in words is "eighty-five billion, eight hundred fifty million, three hundred eighty-eight thousand, six hundred twenty-four".