85970107800 has 144 divisors (see below), whose sum is σ = 289760256240. Its totient is φ = 22842466560.

The previous prime is 85970107781. The next prime is 85970107807. The reversal of 85970107800 is 870107958.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85970107807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 412389 + ... + 584811.

Almost surely, 2^85970107800 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 85970107800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144880128120).

85970107800 is an abundant number, since it is smaller than the sum of its proper divisors (203790148440).

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

85970107800 is a wasteful number, since it uses less digits than its factorization.

85970107800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172722 (or 172710 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 85970107800 in words is "eighty-five billion, nine hundred seventy million, one hundred seven thousand, eight hundred".