2086377635160 has 768 divisors, whose sum is σ = 8815247400960. Its totient is φ = 416086917120.

The previous prime is 2086377635087. The next prime is 2086377635189. The reversal of 2086377635160 is 615367736802.

2086377635160 is a `hidden beast` number, since 2 + 0 + 8 + 63 + 7 + 7 + 63 + 516 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2086377635097 and 2086377635106.

It is a congruent number.

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, 43645192 + ... + 43692968.

It is an arithmetic number, because the mean of its divisors is an integer number (11478186720).

Almost surely, 2^{2086377635160} is an apocalyptic number.

2086377635160 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 2086377635160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407623700480).

2086377635160 is an abundant number, since it is smaller than the sum of its proper divisors (6728869765800).

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

2086377635160 is a wasteful number, since it uses less digits than its factorization.

2086377635160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47888 (or 47881 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 2086377635160 in words is "two trillion, eighty-six billion, three hundred seventy-seven million, six hundred thirty-five thousand, one hundred sixty".