85525632000 has 880 divisors, whose sum is σ = 325960054992. Its totient is φ = 22295347200.

The previous prime is 85525631999. The next prime is 85525632013. The reversal of 85525632000 is 23652558.

It is a happy number.

85525632000 is a `hidden beast` number, since 85 + 5 + 256 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52290883584 + 33234748416 = 228672^2 + 182304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 756863944 + ... + 756864056.

Almost surely, 2^85525632000 is an apocalyptic number.

85525632000 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 85525632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162980027496).

85525632000 is an abundant number, since it is smaller than the sum of its proper divisors (240434422992).

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

85525632000 is a wasteful number, since it uses less digits than its factorization.

85525632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 85525632000 in words is "eighty-five billion, five hundred twenty-five million, six hundred thirty-two thousand".