85832038800 has 150 divisors (see below), whose sum is σ = 308044415778. Its totient is φ = 22888535040.

The previous prime is 85832038771. The next prime is 85832038807. The reversal of 85832038800 is 883023858.

It can be written as a sum of positive squares in 3 ways, for example, as 2285604864 + 83546433936 = 47808^2 + 289044^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is not an unprimeable number, because it can be changed into a prime (85832038807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1292169 + ... + 1356968.

Almost surely, 2^85832038800 is an apocalyptic number.

85832038800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85832038800 is an abundant number, since it is smaller than the sum of its proper divisors (222212376978).

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

85832038800 is a wasteful number, since it uses less digits than its factorization.

85832038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649167 (or 2649147 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 85832038800 in words is "eighty-five billion, eight hundred thirty-two million, thirty-eight thousand, eight hundred".