10085454864576 has 672 divisors, whose sum is σ = 36814730674176. Its totient is φ = 2567946240000.

The previous prime is 10085454864493. The next prime is 10085454864601. The reversal of 10085454864576 is 67546845458001.

10085454864576 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 5 + 4 + 54 + 8 + 6 + 4 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 700322976 + ... + 700337376.

It is an arithmetic number, because the mean of its divisors is an integer number (54783825408).

Almost surely, 2^{10085454864576} is an apocalyptic number.

10085454864576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10085454864576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18407365337088).

10085454864576 is an abundant number, since it is smaller than the sum of its proper divisors (26729275809600).

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

10085454864576 is a wasteful number, since it uses less digits than its factorization.

10085454864576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14901 (or 14888 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 10085454864576 in words is "ten trillion, eighty-five billion, four hundred fifty-four million, eight hundred sixty-four thousand, five hundred seventy-six".