85449006000 has 560 divisors, whose sum is σ = 313339141440. Its totient is φ = 22525516800.

The previous prime is 85449005927. The next prime is 85449006029. The reversal of 85449006000 is 60094458.

85449006000 is a `hidden beast` number, since 8 + 5 + 4 + 49 + 0 + 0 + 600 + 0 = 666.

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 111 ways as a sum of consecutive naturals, for example, 150173716 + ... + 150174284.

Almost surely, 2^85449006000 is an apocalyptic number.

85449006000 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 85449006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156669570720).

85449006000 is an abundant number, since it is smaller than the sum of its proper divisors (227890135440).

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

85449006000 is a wasteful number, since it uses less digits than its factorization.

85449006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 85449006000 in words is "eighty-five billion, four hundred forty-nine million, six thousand".