2055686379264 has 864 divisors, whose sum is σ = 7458547824000. Its totient is φ = 530926534656.

The previous prime is 2055686379169. The next prime is 2055686379287. The reversal of 2055686379264 is 4629736865502.

2055686379264 is a `hidden beast` number, since 2 + 0 + 5 + 568 + 6 + 3 + 7 + 9 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1820802252 + ... + 1820803380.

It is an arithmetic number, because the mean of its divisors is an integer number (8632578500).

Almost surely, 2^{2055686379264} is an apocalyptic number.

2055686379264 is a gapful number since it is divisible by the number (24) 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 2055686379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729273912000).

2055686379264 is an abundant number, since it is smaller than the sum of its proper divisors (5402861444736).

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

2055686379264 is a wasteful number, since it uses less digits than its factorization.

2055686379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 2055686379264 in words is "two trillion, fifty-five billion, six hundred eighty-six million, three hundred seventy-nine thousand, two hundred sixty-four".