85445207100 has 720 divisors, whose sum is σ = 312563328000. Its totient is φ = 20015424000.

The previous prime is 85445207047. The next prime is 85445207143. The reversal of 85445207100 is 170254458.

85445207100 is a `hidden beast` number, since 8 + 5 + 445 + 207 + 1 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 429372801 + ... + 429372999.

Almost surely, 2^85445207100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85445207100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156281664000).

85445207100 is an abundant number, since it is smaller than the sum of its proper divisors (227118120900).

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

85445207100 is a wasteful number, since it uses less digits than its factorization.

85445207100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 85445207100 in words is "eighty-five billion, four hundred forty-five million, two hundred seven thousand, one hundred".