85506969600 has 1170 divisors, whose sum is σ = 348599507586. Its totient is φ = 20702822400.

The previous prime is 85506969593. The next prime is 85506969619. The reversal of 85506969600 is 696960558.

It can be written as a sum of positive squares in 9 ways, for example, as 75805507584 + 9701462016 = 275328^2 + 98496^2 .

It is a tau number, because it is divible by the number of its divisors (1170).

It is a super-2 number, since 2×85506969600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1401753570 + ... + 1401753630.

Almost surely, 2^85506969600 is an apocalyptic number.

85506969600 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 85506969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174299753793).

85506969600 is an abundant number, since it is smaller than the sum of its proper divisors (263092537986).

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

85506969600 is a wasteful number, since it uses less digits than its factorization.

85506969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 85506969600 in words is "eighty-five billion, five hundred six million, nine hundred sixty-nine thousand, six hundred".