85520056426560 has 280 divisors, whose sum is σ = 347668441771200. Its totient is φ = 19547441427456.

The previous prime is 85520056426501. The next prime is 85520056426573. The reversal of 85520056426560 is 6562465002558.

85520056426560 is a `hidden beast` number, since 8 + 5 + 5 + 2 + 0 + 0 + 56 + 4 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a junction number, because it is equal to n+sod(n) for n = 85520056426497 and 85520056426506.

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 39 ways as a sum of consecutive naturals, for example, 235488910 + ... + 235851789.

Almost surely, 2^{85520056426560} is an apocalyptic number.

85520056426560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85520056426560 is an abundant number, since it is smaller than the sum of its proper divisors (262148385344640).

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

85520056426560 is a wasteful number, since it uses less digits than its factorization.

85520056426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471340735 (or 471340716 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 85520056426560 in words is "eighty-five trillion, five hundred twenty billion, fifty-six million, four hundred twenty-six thousand, five hundred sixty".