85085952000 has 1536 divisors, whose sum is σ = 367960320000. Its totient is φ = 17340825600.

The previous prime is 85085951987. The next prime is 85085952001. The reversal of 85085952000 is 25958058.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85085952001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4478207991 + ... + 4478208009.

It is an arithmetic number, because the mean of its divisors is an integer number (239557500).

Almost surely, 2^85085952000 is an apocalyptic number.

85085952000 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 85085952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160000).

85085952000 is an abundant number, since it is smaller than the sum of its proper divisors (282874368000).

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

85085952000 is a wasteful number, since it uses less digits than its factorization.

85085952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 85085952000 in words is "eighty-five billion, eighty-five million, nine hundred fifty-two thousand".