2010085416000 has 448 divisors, whose sum is σ = 7381722965760. Its totient is φ = 535518259200.

The previous prime is 2010085415999. The next prime is 2010085416007. The reversal of 2010085416000 is 6145800102.

2010085416000 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 8 + 54 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2010085416007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267188239 + ... + 267195761.

Almost surely, 2^{2010085416000} is an apocalyptic number.

2010085416000 is a gapful number since it is divisible by the number (20) 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 2010085416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690861482880).

2010085416000 is an abundant number, since it is smaller than the sum of its proper divisors (5371637549760).

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

2010085416000 is a wasteful number, since it uses less digits than its factorization.

2010085416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8796 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 2010085416000 in words is "two trillion, ten billion, eighty-five million, four hundred sixteen thousand".