85658939520 has 384 divisors, whose sum is σ = 342996232320. Its totient is φ = 17798922240.

The previous prime is 85658939519. The next prime is 85658939521. The reversal of 85658939520 is 2593985658.

It is an interprime number because it is at equal distance from previous prime (85658939519) and next prime (85658939521).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (85658939521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599904 + ... + 1652576.

It is an arithmetic number, because the mean of its divisors is an integer number (893219355).

Almost surely, 2^85658939520 is an apocalyptic number.

85658939520 is a gapful number since it is divisible by the number (80) 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 85658939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171498116160).

85658939520 is an abundant number, since it is smaller than the sum of its proper divisors (257337292800).

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

85658939520 is a wasteful number, since it uses less digits than its factorization.

85658939520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52724 (or 52701 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 60.

The spelling of 85658939520 in words is "eighty-five billion, six hundred fifty-eight million, nine hundred thirty-nine thousand, five hundred twenty".