85738901760 has 180 divisors, whose sum is σ = 306789840588. Its totient is φ = 22863679488.

The previous prime is 85738901741. The next prime is 85738901789. The reversal of 85738901760 is 6710983758.

85738901760 is a `hidden beast` number, since 8 + 573 + 8 + 9 + 0 + 1 + 7 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66588770304 + 19150131456 = 258048^2 + 138384^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 85738901697 and 85738901706.

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 19 ways as a sum of consecutive naturals, for example, 309799 + ... + 517158.

Almost surely, 2^85738901760 is an apocalyptic number.

85738901760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85738901760 is an abundant number, since it is smaller than the sum of its proper divisors (221050938828).

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

85738901760 is an equidigital number, since it uses as much as digits as its factorization.

85738901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826990 (or 826967 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 85738901760 in words is "eighty-five billion, seven hundred thirty-eight million, nine hundred one thousand, seven hundred sixty".