2086561382400 has 1104 divisors, whose sum is σ = 8487928106880. Its totient is φ = 498283315200.

The previous prime is 2086561382393. The next prime is 2086561382419. The reversal of 2086561382400 is 42831656802.

2086561382400 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 5 + 613 + 8 + 24 + 0 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31142707167 + ... + 31142707233.

Almost surely, 2^{2086561382400} is an apocalyptic number.

2086561382400 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 2086561382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243964053440).

2086561382400 is an abundant number, since it is smaller than the sum of its proper divisors (6401366724480).

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

2086561382400 is an frugal number, since it uses more digits than its factorization.

2086561382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2086561382400 in words is "two trillion, eighty-six billion, five hundred sixty-one million, three hundred eighty-two thousand, four hundred".