85200353280 has 1152 divisors, whose sum is σ = 371970144000. Its totient is φ = 18393661440.

The previous prime is 85200353263. The next prime is 85200353281. The reversal of 85200353280 is 8235300258.

85200353280 is a `hidden beast` number, since 8 + 5 + 20 + 0 + 353 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85200353281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257402715 + ... + 257403045.

It is an arithmetic number, because the mean of its divisors is an integer number (322890750).

Almost surely, 2^85200353280 is an apocalyptic number.

85200353280 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 85200353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185985072000).

85200353280 is an abundant number, since it is smaller than the sum of its proper divisors (286769790720).

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

85200353280 is a wasteful number, since it uses less digits than its factorization.

85200353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 85200353280 in words is "eighty-five billion, two hundred million, three hundred fifty-three thousand, two hundred eighty".