2085263636400 has 720 divisors, whose sum is σ = 8392858965504. Its totient is φ = 469613445120.

The previous prime is 2085263636371. The next prime is 2085263636447. The reversal of 2085263636400 is 46363625802.

It is a happy number.

2085263636400 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 2 + 6 + 3 + 636 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 520403197 + ... + 520407203.

Almost surely, 2^{2085263636400} is an apocalyptic number.

2085263636400 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 2085263636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196429482752).

2085263636400 is an abundant number, since it is smaller than the sum of its proper divisors (6307595329104).

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

2085263636400 is a wasteful number, since it uses less digits than its factorization.

2085263636400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2085263636400 in words is "two trillion, eighty-five billion, two hundred sixty-three million, six hundred thirty-six thousand, four hundred".