85936296960 has 264 divisors, whose sum is σ = 298526881536. Its totient is φ = 22857891840.

The previous prime is 85936296949. The next prime is 85936296967. The reversal of 85936296960 is 6969263958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85936296967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19858317 + ... + 19862643.

Almost surely, 2^85936296960 is an apocalyptic number.

85936296960 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 85936296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149263440768).

85936296960 is an abundant number, since it is smaller than the sum of its proper divisors (212590584576).

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

85936296960 is a wasteful number, since it uses less digits than its factorization.

85936296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 85936296960 in words is "eighty-five billion, nine hundred thirty-six million, two hundred ninety-six thousand, nine hundred sixty".