85345092000 has 576 divisors, whose sum is σ = 347722502400. Its totient is φ = 19419494400.

The previous prime is 85345091927. The next prime is 85345092029. The reversal of 85345092000 is 29054358.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67787371 + ... + 67788629.

It is an arithmetic number, because the mean of its divisors is an integer number (603684900).

Almost surely, 2^85345092000 is an apocalyptic number.

85345092000 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 85345092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173861251200).

85345092000 is an abundant number, since it is smaller than the sum of its proper divisors (262377410400).

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

85345092000 is a wasteful number, since it uses less digits than its factorization.

85345092000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 85345092000 in words is "eighty-five billion, three hundred forty-five million, ninety-two thousand".