85881626010756 has 81 divisors (see below), whose sum is σ = 217443732949989. Its totient is φ = 28580594483232.

The previous prime is 85881626010751. The next prime is 85881626010793. The reversal of 85881626010756 is 65701062618858.

The square root of 85881626010756 is 9267234.

It is a perfect power (a square), and thus also a powerful number.

85881626010756 is a `hidden beast` number, since 8 + 5 + 8 + 8 + 16 + 2 + 601 + 0 + 7 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83766974904900 + 2114651105856 = 9152430^2 + 1454184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85881626010693 and 85881626010702.

It is not an unprimeable number, because it can be changed into a prime (85881626010751) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59106417726 + ... + 59106419178.

Almost surely, 2^{85881626010756} is an apocalyptic number.

85881626010756 is the 9267234-th square number.

It is an amenable number.

85881626010756 is an abundant number, since it is smaller than the sum of its proper divisors (131562106939233).

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

85881626010756 is an equidigital number, since it uses as much as digits as its factorization.

85881626010756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 85881626010756 in words is "eighty-five trillion, eight hundred eighty-one billion, six hundred twenty-six million, ten thousand, seven hundred fifty-six".