85766889600 has 1152 divisors, whose sum is σ = 372913632000. Its totient is φ = 18345000960.

The previous prime is 85766889581. The next prime is 85766889661. The reversal of 85766889600 is 698866758.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 245750226 + ... + 245750574.

It is an arithmetic number, because the mean of its divisors is an integer number (323709750).

Almost surely, 2^85766889600 is an apocalyptic number.

85766889600 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 85766889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186456816000).

85766889600 is an abundant number, since it is smaller than the sum of its proper divisors (287146742400).

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

85766889600 is a wasteful number, since it uses less digits than its factorization.

85766889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 85766889600 in words is "eighty-five billion, seven hundred sixty-six million, eight hundred eighty-nine thousand, six hundred".