85487507868672 has 1584 divisors, whose sum is σ = 324792219548160. Its totient is φ = 22257500848128.

The previous prime is 85487507868661. The next prime is 85487507868703. The reversal of 85487507868672 is 27686870578458.

85487507868672 is a `hidden beast` number, since 8 + 5 + 48 + 7 + 507 + 8 + 6 + 8 + 67 + 2 = 666.

It is a super-2 number, since 2×85487507868672² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 85487507868591 and 85487507868600.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12521969323 + ... + 12521976149.

Almost surely, 2^{85487507868672} 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 85487507868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162396109774080).

85487507868672 is an abundant number, since it is smaller than the sum of its proper divisors (239304711679488).

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

85487507868672 is a wasteful number, since it uses less digits than its factorization.

85487507868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6968 (or 6931 counting only the distinct ones).

The product of its (nonzero) digits is 10115481600, while the sum is 81.

The spelling of 85487507868672 in words is "eighty-five trillion, four hundred eighty-seven billion, five hundred seven million, eight hundred sixty-eight thousand, six hundred seventy-two".