85288121280 has 168 divisors, whose sum is σ = 300511031184. Its totient is φ = 22188748800.

The previous prime is 85288121273. The next prime is 85288121293. The reversal of 85288121280 is 8212188258.

85288121280 is a `hidden beast` number, since 8 + 528 + 81 + 21 + 28 + 0 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 243066 + ... + 479225.

It is an arithmetic number, because the mean of its divisors is an integer number (1788756138).

Almost surely, 2^85288121280 is an apocalyptic number.

85288121280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85288121280 is an abundant number, since it is smaller than the sum of its proper divisors (215222909904).

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

85288121280 is a wasteful number, since it uses less digits than its factorization.

85288121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722355 (or 722342 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 85288121280 in words is "eighty-five billion, two hundred eighty-eight million, one hundred twenty-one thousand, two hundred eighty".