85778434560 has 640 divisors, whose sum is σ = 340318218240. Its totient is φ = 17947754496.

The previous prime is 85778434559. The next prime is 85778434571. The reversal of 85778434560 is 6543487758.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 85778434560.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97143879 + ... + 97144761.

It is an arithmetic number, because the mean of its divisors is an integer number (531747216).

Almost surely, 2^85778434560 is an apocalyptic number.

85778434560 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 85778434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170159109120).

85778434560 is an abundant number, since it is smaller than the sum of its proper divisors (254539783680).

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

85778434560 is a wasteful number, since it uses less digits than its factorization.

85778434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 85778434560 in words is "eighty-five billion, seven hundred seventy-eight million, four hundred thirty-four thousand, five hundred sixty".