85253284800 has 126 divisors (see below), whose sum is σ = 303010354608. Its totient is φ = 22734205440.

The previous prime is 85253284799. The next prime is 85253284807. The reversal of 85253284800 is 848235258.

It is a super-2 number, since 2×85253284800² (a number of 23 digits) contains 22 as substring.

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 (85253284807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2945784 + ... + 2974583.

Almost surely, 2^85253284800 is an apocalyptic number.

85253284800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85253284800 is an abundant number, since it is smaller than the sum of its proper divisors (217757069808).

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

85253284800 is a wasteful number, since it uses less digits than its factorization.

85253284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920395 (or 5920377 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 85253284800 in words is "eighty-five billion, two hundred fifty-three million, two hundred eighty-four thousand, eight hundred".