85254220800 has 396 divisors, whose sum is σ = 348864249136. Its totient is φ = 19486310400.

The previous prime is 85254220789. The next prime is 85254220801. The reversal of 85254220800 is 802245258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85254220801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1586370 + ... + 1639230.

Almost surely, 2^85254220800 is an apocalyptic number.

85254220800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85254220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174432124568).

85254220800 is an abundant number, since it is smaller than the sum of its proper divisors (263610028336).

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

85254220800 is a wasteful number, since it uses less digits than its factorization.

85254220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52904 (or 52878 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 85254220800 in words is "eighty-five billion, two hundred fifty-four million, two hundred twenty thousand, eight hundred".