85636978560 has 576 divisors, whose sum is σ = 345696951600. Its totient is φ = 19477463040.

The previous prime is 85636978547. The next prime is 85636978561. The reversal of 85636978560 is 6587963658.

85636978560 is a `hidden beast` number, since 8 + 5 + 6 + 3 + 69 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85636978561) 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, 68019211 + ... + 68020469.

Almost surely, 2^85636978560 is an apocalyptic number.

85636978560 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 85636978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172848475800).

85636978560 is an abundant number, since it is smaller than the sum of its proper divisors (260059973040).

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

85636978560 is a wasteful number, since it uses less digits than its factorization.

85636978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 85636978560 in words is "eighty-five billion, six hundred thirty-six million, nine hundred seventy-eight thousand, five hundred sixty".