85288644900 has 144 divisors (see below), whose sum is σ = 277658617600. Its totient is φ = 22455688320.

The previous prime is 85288644899. The next prime is 85288644911. The reversal of 85288644900 is 944688258.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13374 + ... + 413226.

Almost surely, 2^85288644900 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 85288644900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138829308800).

85288644900 is an abundant number, since it is smaller than the sum of its proper divisors (192369972700).

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

85288644900 is a wasteful number, since it uses less digits than its factorization.

85288644900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399955 (or 399942 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 85288644900 in words is "eighty-five billion, two hundred eighty-eight million, six hundred forty-four thousand, nine hundred".