85653697536 has 792 divisors, whose sum is σ = 299750561760. Its totient is φ = 24186470400.

The previous prime is 85653697529. The next prime is 85653697537. The reversal of 85653697536 is 63579635658.

85653697536 is a `hidden beast` number, since 8 + 5 + 6 + 5 + 3 + 6 + 97 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (122472000) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85653697537) 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 71 ways as a sum of consecutive naturals, for example, 1404158946 + ... + 1404159006.

Almost surely, 2^85653697536 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 85653697536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149875280880).

85653697536 is an abundant number, since it is smaller than the sum of its proper divisors (214096864224).

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

85653697536 is an equidigital number, since it uses as much as digits as its factorization.

85653697536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 85653697536 in words is "eighty-five billion, six hundred fifty-three million, six hundred ninety-seven thousand, five hundred thirty-six".