85461480000 has 700 divisors, whose sum is σ = 341086239340. Its totient is φ = 21026304000.

The previous prime is 85461479993. The next prime is 85461480017. The reversal of 85461480000 is 8416458.

It can be written as a sum of positive squares in 10 ways, for example, as 53783175744 + 31678304256 = 231912^2 + 177984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 42118986 + ... + 42121014.

Almost surely, 2^85461480000 is an apocalyptic number.

85461480000 is a gapful number since it is divisible by the number (80) 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 85461480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170543119670).

85461480000 is an abundant number, since it is smaller than the sum of its proper divisors (255624759340).

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

85461480000 is a wasteful number, since it uses less digits than its factorization.

85461480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 85461480000 its reverse (8416458), we get a palindrome (85469896458).

The spelling of 85461480000 in words is "eighty-five billion, four hundred sixty-one million, four hundred eighty thousand".