85963243680 has 384 divisors, whose sum is σ = 309681066240. Its totient is φ = 22257745920.

The previous prime is 85963243661. The next prime is 85963243687. The reversal of 85963243680 is 8634236958.

85963243680 is a `hidden beast` number, since 8 + 596 + 3 + 2 + 43 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85963243687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41267919 + ... + 41270001.

It is an arithmetic number, because the mean of its divisors is an integer number (806461110).

Almost surely, 2^85963243680 is an apocalyptic number.

85963243680 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 85963243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154840533120).

85963243680 is an abundant number, since it is smaller than the sum of its proper divisors (223717822560).

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

85963243680 is a wasteful number, since it uses less digits than its factorization.

85963243680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 85963243680 in words is "eighty-five billion, nine hundred sixty-three million, two hundred forty-three thousand, six hundred eighty".