2086311588900 has 576 divisors, whose sum is σ = 8136165918720. Its totient is φ = 399599308800.

The previous prime is 2086311588839. The next prime is 2086311588961. The reversal of 2086311588900 is 98851136802.

It is an interprime number because it is at equal distance from previous prime (2086311588839) and next prime (2086311588961).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16175064 + ... + 16303536.

Almost surely, 2^{2086311588900} is an apocalyptic number.

2086311588900 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 2086311588900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068082959360).

2086311588900 is an abundant number, since it is smaller than the sum of its proper divisors (6049854329820).

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

2086311588900 is a wasteful number, since it uses less digits than its factorization.

2086311588900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128564 (or 128557 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 2086311588900 in words is "two trillion, eighty-six billion, three hundred eleven million, five hundred eighty-eight thousand, nine hundred".