85300992000 has 1536 divisors, whose sum is σ = 377772595200. Its totient is φ = 18579456000.

The previous prime is 85300991989. The next prime is 85300992011. The reversal of 85300992000 is 29900358.

It is an interprime number because it is at equal distance from previous prime (85300991989) and next prime (85300992011).

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1983743979 + ... + 1983744021.

It is an arithmetic number, because the mean of its divisors is an integer number (245945700).

Almost surely, 2^85300992000 is an apocalyptic number.

85300992000 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 85300992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188886297600).

85300992000 is an abundant number, since it is smaller than the sum of its proper divisors (292471603200).

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

85300992000 is a wasteful number, since it uses less digits than its factorization.

85300992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 85300992000 in words is "eighty-five billion, three hundred million, nine hundred ninety-two thousand".