85553006760 has 320 divisors, whose sum is σ = 310112787600. Its totient is φ = 21029289984.

The previous prime is 85553006717. The next prime is 85553006761. The reversal of 85553006760 is 6760035558.

85553006760 is a `hidden beast` number, since 8 + 55 + 530 + 0 + 6 + 7 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16328239524 + 69224767236 = 127782^2 + 263106^2 .

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

It is not an unprimeable number, because it can be changed into a prime (85553006761) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 51259206 + ... + 51260874.

Almost surely, 2^85553006760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85553006760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155056393800).

85553006760 is an abundant number, since it is smaller than the sum of its proper divisors (224559780840).

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

85553006760 is a wasteful number, since it uses less digits than its factorization.

85553006760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 85553006760 in words is "eighty-five billion, five hundred fifty-three million, six thousand, seven hundred sixty".